Factorise: 5(x+y)2-6(x+y)-8
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Step-by-step explanation:
Let (3x + y) = z. Then, the expression becomes:
5z2 + 6z - 8
= 5z2 + 10z - 4z - 8
= 5z(z + 2) - 4(z + 2)
= (z + 2)(5z - 4)
= (3x + y + 2) [5(3x + y) - 4]
= (3x + y + 2) (15x + 5y - 4)
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