Question

Factorise : 8x3+125y3+60x2y+150xy2

Answer 1

Hope u like my process
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Formula to be used
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$= > \bf \green{{a}^{3} + {b}^{3} + 3 {a}^{2} b + 3a {b}^{2} }= \green{{(a + b)}^{3} }$
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$= > \blue{ 8 {x}^{3} + 125 {y}^{3} + 60 {x}^{2} y + 150x {y}^{2} } \\ \\ = \blue{ {(2x)}^{3} + {(5y)}^{3} + 3 \times {(2x)}^{2} \times 5y + 3 \times 2x \times {(5y)}^{2} } \\ \\ = \bf \: \underline{ \blue{(2x + 5y)^{3} }}$
Thus the required factorization is

$= > \boxed{ \huge \underline{\orange{ {(2x + 5y)}^{3} }}}$
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