Question

b%20%2B%2015%20%7Bab%7D%5E%7B2%7D%20" id="TexFormula1" title="64 {a}^{3} + 125 {b}^{3} + 12 {a}^{2} b + 15 {ab}^{2} " alt="64 {a}^{3} + 125 {b}^{3} + 12 {a}^{2} b + 15 {ab}^{2} " align="absmiddle" class="latex-formula">
Factorise the above equation
And send the answer fast please ​

Answer 1

Answer:

Hello,

Step-by-step explanation:

Remember:

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

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