Question

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

Factorise the above equation
And send the answer fast please ​

Answer 1

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)}\\`