64 {a}^(3) + 125 {b}^(3) + 12 {a}^(2) b + 15 {ab}^(2) Factorise the above equation And send the answer fast please

asked May 13, 2023 231k views

4 votes

$64 {a}^(3) + 125 {b}^(3) + 12 {a}^(2) b + 15 {ab}^(2)$

Factorise the above equation
And send the answer fast please

by Nre

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Answer:

Hello,

Explanation:

Remember:

$x^3+y^3=(x+y)(x^2-xy+y^2)\\$

$64a^3+125b^3+12a^2b+15ab^2\\\\=(4a)^3+(5b)^3+3ab(4a+5b)\\\\=(4a+5b)(16a^2-20ab+25b^2)+(4a+5b)*3ab\\\\\boxed{=(4a+5b)(16a^2-17ab+25b^2)}\\$

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