Question

5.) 8(x + y)^3+ 125(x – y)^3
factorise it!
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Answer 1

let x+y be a

x-y be b

${(2a)}^{3} + {(5b)}^{3} \\ by \: putting \: the \: formula \\ {x}^{3} + {y}^{3} = (x + y)( {x}^{2} + {y}^{2} - xy) \\ (2a + 5b)(4 {a}^{2} + 25 {b}^{2} - 10ab)$

now you can first do middle term splitting

the take common

and you got your answer