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### Grade 7 - Mathematics4.22 Find The Factors of Difference of Two Squares - I

 The difference two squares is always equal to the product of the sum and difference of the square roots of the square terms in the expression. Example: Factorise 16x2-1. Solution: Given that 16x2-1 = (4x)2 - (1)2 This is the for of a2-b2. = (4x+1)(4x-1) \ Factors of 16x2-1 is (4x+1)(4x-1) Directions: Find the factors of given terms and show your work. Also write at least ten examples of your own.
 Q 1: Factorise 225x2 - 1.(15x-1)(15x-1)(15x+1)(15x-1)(15x+1)(15x+1) Q 2: Factorise 169x2 - 1.(13x+1)(13x+1)(13x+1)(13x-1)(13x-1)(13x-1) Q 3: Factorise 256x2 - 1.(16x+1)(16x+1)(16x+1)(16x-1)(16x-1)(16x-1) Q 4: Factorise 81x2 - 1.(9x+1)(9x+1)(9x-1)(9x-1)(9x+1)(9x-1) Q 5: Factorise 25x2 - 1.(5x+1)(5x-1)(5x+1)(5x+1)(5x-1)(5x-1) Q 6: Factorise 144x2 - 1.(12x+1)(12x+1)(12x+1)(12x-1)(12x-1)(12x-1) Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!