Simplyfy:(5a+3b)^3+(5a-3b)^3

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Posted by Shubham Purbey 7 years, 6 months ago
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Susai Raj 7 years, 6 months ago
We know that (a+b)^3 + (a-b)^3
=(a^3+3a^2.b+3ab^2+b^3+a^3-3a^2.b+3ab^2-b^3
=2(a^3+3ab^2)
So .(5a+3b)^3 + (5a-3b)^3
=2{(5a)^3 + 3(5a)(3b)^2}
=2{125a^3 + 135ab^2)
=250a^3 + 270ab^2.
3Thank You