factorise 36(a-b)^2 - 25(a+b)^2
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hey mate here's ur answer
36(a-b)² - 25(a+b)²
= 6²(a-b)² - 5²(a+b)²
= [6(a-b)]² - [5(a+b)]²
using a² - b² = (a-b)(a+b)
[6(a-b) + 5(a+b)] [6(a-b) - 5(a+b)]
= (6a - 6b + 5a + 5b) (6a - 6b - 5a - 5b)
36(a-b)² - 25(a+b)²
= 6²(a-b)² - 5²(a+b)²
= [6(a-b)]² - [5(a+b)]²
using a² - b² = (a-b)(a+b)
[6(a-b) + 5(a+b)] [6(a-b) - 5(a+b)]
= (6a - 6b + 5a + 5b) (6a - 6b - 5a - 5b)
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Hope this'll help you.
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