simplify (5a-2b)(25a²+10ab+4b²)-(4a+3b)³ please give me the correct answer i will mark you the brainliest. please please please please please
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Answer:
(5a-2b)(25a^2+10ab+4b^2)-(4a+3b)^3
=(125a^3+50a^2b+20ab^2-50a^2b-20ab^2-8b^3)-(4a+3b)^3
[ (a+b)^3 =a^3+b^3+3a^2b+3ab^2) ]
=125a^3+50a^2b+20ab^2-50a^2b-20ab^2-8b^3-(4a^3+3b^3+3(4a)^2(3b)+3(4a)(3b)^2
=125a^3+50a^2b+20ab^2-50a^2-20ab^2-8b^3-4a^3+3b^3+144a^2b+108ab^2
[ by cancellation of same terms having +and- ] we get finally
= 121a^3-5b^3+144a^2b+108ab..
Hope it helps you...
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