Question

factorise (x+y)3(a+b)-(x+y)(a+b)3​

Answer 1

Step-by-step explanation:

${(x + y)}^{3} (a + b) - (x + y) {(a + b)}^{3} \\ = (x + y)(a + b)( {(x + y)}^{2} - {(a + b)}^{2} ) \\ = (x + y)(a + b)( {x}^{2} + 2xy + {y}^{2} - {a}^{2} - 2ab - {b}^{2} ) \\ = (x + y)(a + b)( {x}^{2} + {y}^{2} - {a }^{2} - {b}^{2} - 2xy - 2ab)$

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