Factorize: 25(a-5b)^2 - 4(a-3b)^2
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Step-by-step explanation:
25(a+2b)²-36(2a-5b)²
=5²(a+2b)²-6²(2a-5b)²
={5(a+2b)}²-{6(2a-5b)}²
= {5(a+2b) +6(2a-5b)}{5(a+2b)-6(2a-5b)}
=(5a+10b+12a-30b)(5a+10b-12a+30b)
=(17a-20b)(40b-7a)
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