Question

Factorise: 25(a+b)^2-16(a-b)^2

Answer 1

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Answer 2

Step-by-step explanation:

25(a+b)²-16(a-b)²

= 5²(a+b)²-4²(a-b)²

= (5a+5b)²-(4a-4b)²

= {(5a+5b)+(4a-4b)} {(5a+5b)-(4a-4b)}

= {5a+5b+4a-4b} {5a+5b-4a+4b}

= {5a+4a+5b-4b} {5a-4a+5b+4b}

= {9a+b} {a+9b}