Difference Of Squares Worksheet

Difference Of Squares Worksheet - Factor difference of squares (a = 1). Web worksheet by kuta software llc algebra 1 difference of two squares name_____ id: X 2 − 2 2 = ( x + 2) ( x − 2) Factorise each of the following (a) x2 − 25 (b) y2 − 49 (e) c2 − 64 (f) x2 − 1 (i) 16 − x2 (j) 1 − y2 (m) x2 − y2 (n) a2 − c2 (q) 49x2 − 16 (r) 100 − 81x2 (u) 121w2 − 196y2 (v) 225 − 121y2 (c) w2 − 100 Web answers to factoring the difference of squares 1) (3 x + 1)(3x − 1) 2) (2n + 7)(2n − 7) 3) (6k + 1)(6k − 1) 4) (p + 6)(p − 6) 5) 2(x + 3)(x − 3) 6) 4(7n + 6)(7n − 6) 7) 5(6m + 1)(6m − 1) 8) 6(7r + 5)(7r − 5) 9) 6(5k + 6)(5k − 6) 10) 5(2a + 3)(2a − 3) 11) 3(n + 5)(n − 5) Web answers to factoring the difference of squares 1) (a + 7)(a − 7) 2) (a + 8)(a − 8) 3) (p + 12)(p − 12) 4) (b + 5)(b − 5) 5) (x + 3)(x − 3) 6) (x + 2)(x − 2) 7) (k + 11)(k − 11) 8) (k + 6)(k − 6) 9) (n + 17)(n − 17) 10) (n + 13)(n − 13) 11) (2x + 5)(2x − 5) 12) (4b + 1)(4b − 1) Web difference between two squares difference between two squares video 120 on www.corbettmaths.com workout question 1: Web untitled factoring difference of squares exercises factor each completely.

Web worksheet by kuta software llc answers to factoring difference of squares (id: Every polynomial that is a difference of squares can be factored by applying the following formula: A 2 − b 2 = ( a + b) ( a − b) note that a and b in the pattern can be any algebraic expression. Factorise each of the following (a) x2 − 25 (b) y2 − 49 (e) c2 − 64 (f) x2 − 1 (i) 16 − x2 (j) 1 − y2 (m) x2 − y2 (n) a2 − c2 (q) 49x2 − 16 (r) 100 − 81x2 (u) 121w2 − 196y2 (v) 225 − 121y2 (c) w2 − 100 __________________ worksheet use the difference of squares formula to factor the following. 4x2 − 25y2 (4x + 25y)2 (2x − 5y)2 (2x + 5y)(2x − 5y) (3x + 2y)(3x − 2y) 3) 16v2 − 25 (−4v + 5)(4v − 5) (v + 3)(v − 3) (4v + 5)(4v − 5) 2)(5v − 2) d) (5v 5) x2 − 4 (x + 2)(x − 2) (x − 2)2 (x + 4)2 not factorable 7) 9x2 − 1 (3x + 1)(3x − 1) (3x + 2)(3x − 2) (3x − 1)2

For example, for a = x and b = 2 , we get the following: Web untitled factoring difference of squares exercises factor each completely. Web factoring difference of squares − = ( + )( − ) note: Factor difference of squares (two variables) the difference of squares pattern applies when you have a perfect square a 2 2 minus another perfect square b 2.

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Difference Of Squares Worksheet - A 2 − b 2 = ( a + b) ( a − b) note that a and b in the pattern can be any algebraic expression. For example, for a = x and b = 2 , we get the following: __________________ worksheet use the difference of squares formula to factor the following. Web answers to factoring the difference of squares 1) (a + 7)(a − 7) 2) (a + 8)(a − 8) 3) (p + 12)(p − 12) 4) (b + 5)(b − 5) 5) (x + 3)(x − 3) 6) (x + 2)(x − 2) 7) (k + 11)(k − 11) 8) (k + 6)(k − 6) 9) (n + 17)(n − 17) 10) (n + 13)(n − 13) 11) (2x + 5)(2x − 5) 12) (4b + 1)(4b − 1) 4x2 − 25y2 (4x + 25y)2 (2x − 5y)2 (2x + 5y)(2x − 5y) (3x + 2y)(3x − 2y) 3) 16v2 − 25 (−4v + 5)(4v − 5) (v + 3)(v − 3) (4v + 5)(4v − 5) 2)(5v − 2) d) (5v 5) x2 − 4 (x + 2)(x − 2) (x − 2)2 (x + 4)2 not factorable 7) 9x2 − 1 (3x + 1)(3x − 1) (3x + 2)(3x − 2) (3x − 1)2 X 2 − 2 2 = ( x + 2) ( x − 2) Don’t forget to factor out the gcf if necessary. Web factoring difference of squares − = ( + )( − ) note: Factor difference of squares (two variables) the difference of squares pattern applies when you have a perfect square a 2 2 minus another perfect square b 2. Web there are three sets of factoring difference of squares worksheets.

Web answers to factoring the difference of squares 1) (a + 7)(a − 7) 2) (a + 8)(a − 8) 3) (p + 12)(p − 12) 4) (b + 5)(b − 5) 5) (x + 3)(x − 3) 6) (x + 2)(x − 2) 7) (k + 11)(k − 11) 8) (k + 6)(k − 6) 9) (n + 17)(n − 17) 10) (n + 13)(n − 13) 11) (2x + 5)(2x − 5) 12) (4b + 1)(4b − 1) Web the silver level worksheet consists of simple difference of squares factoring, simplifying equations with like terms before factoring difference of squares. Factorise each of the following (a) x2 − 25 (b) y2 − 49 (e) c2 − 64 (f) x2 − 1 (i) 16 − x2 (j) 1 − y2 (m) x2 − y2 (n) a2 − c2 (q) 49x2 − 16 (r) 100 − 81x2 (u) 121w2 − 196y2 (v) 225 − 121y2 (c) w2 − 100 For example, for a = x and b = 2 , we get the following: Web there are three sets of factoring difference of squares worksheets.

4x2 − 25y2 (4x + 25y)2 (2x − 5y)2 (2x + 5y)(2x − 5y) (3x + 2y)(3x − 2y) 3) 16v2 − 25 (−4v + 5)(4v − 5) (v + 3)(v − 3) (4v + 5)(4v − 5) 2)(5v − 2) d) (5v 5) x2 − 4 (x + 2)(x − 2) (x − 2)2 (x + 4)2 not factorable 7) 9x2 − 1 (3x + 1)(3x − 1) (3x + 2)(3x − 2) (3x − 1)2 For example, for a = x and b = 2 , we get the following: Web worksheet by kuta software llc answers to factoring difference of squares (id: A 2 − b 2 = ( a + b) ( a − b) note that a and b in the pattern can be any algebraic expression.

Don’t Forget To Factor Out The Gcf If Necessary.

Web answers to factoring the difference of squares 1) (a + 7)(a − 7) 2) (a + 8)(a − 8) 3) (p + 12)(p − 12) 4) (b + 5)(b − 5) 5) (x + 3)(x − 3) 6) (x + 2)(x − 2) 7) (k + 11)(k − 11) 8) (k + 6)(k − 6) 9) (n + 17)(n − 17) 10) (n + 13)(n − 13) 11) (2x + 5)(2x − 5) 12) (4b + 1)(4b − 1) Web the silver level worksheet consists of simple difference of squares factoring, simplifying equations with like terms before factoring difference of squares. Web factoring difference of squares − = ( + )( − ) note: Web untitled factoring difference of squares exercises factor each completely.

Factor Difference Of Squares (Two Variables) The Difference Of Squares Pattern Applies When You Have A Perfect Square A 2 2 Minus Another Perfect Square B 2.

There is also several questions requiring simple common factoring before factoring difference of. Factor difference of squares (a = 1). Web answers to factoring the difference of squares 1) (3 x + 1)(3x − 1) 2) (2n + 7)(2n − 7) 3) (6k + 1)(6k − 1) 4) (p + 6)(p − 6) 5) 2(x + 3)(x − 3) 6) 4(7n + 6)(7n − 6) 7) 5(6m + 1)(6m − 1) 8) 6(7r + 5)(7r − 5) 9) 6(5k + 6)(5k − 6) 10) 5(2a + 3)(2a − 3) 11) 3(n + 5)(n − 5) __________________ worksheet use the difference of squares formula to factor the following.

Sum Of Squares Does Not Factor + Does Not Factor Name:

A 2 − b 2 = ( a + b) ( a − b) note that a and b in the pattern can be any algebraic expression. Web difference between two squares difference between two squares video 120 on www.corbettmaths.com workout question 1: X 2 − 2 2 = ( x + 2) ( x − 2) Factorise each of the following (a) x2 − 25 (b) y2 − 49 (e) c2 − 64 (f) x2 − 1 (i) 16 − x2 (j) 1 − y2 (m) x2 − y2 (n) a2 − c2 (q) 49x2 − 16 (r) 100 − 81x2 (u) 121w2 − 196y2 (v) 225 − 121y2 (c) w2 − 100

4X2 − 25Y2 (4X + 25Y)2 (2X − 5Y)2 (2X + 5Y)(2X − 5Y) (3X + 2Y)(3X − 2Y) 3) 16V2 − 25 (−4V + 5)(4V − 5) (V + 3)(V − 3) (4V + 5)(4V − 5) 2)(5V − 2) D) (5V 5) X2 − 4 (X + 2)(X − 2) (X − 2)2 (X + 4)2 Not Factorable 7) 9X2 − 1 (3X + 1)(3X − 1) (3X + 2)(3X − 2) (3X − 1)2

Every polynomial that is a difference of squares can be factored by applying the following formula: For example, for a = x and b = 2 , we get the following: Web there are three sets of factoring difference of squares worksheets. Web worksheet by kuta software llc answers to factoring difference of squares (id:

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