Question

Factorise
6 (x +2y + 11 (x+2y)+3​

Answer 1

To find:

Factorize the given expression

Solution:

6(x + 2y)+ 8(x + 2y)2

2 x (x +2y)(x+2y)(x + 2y) + 2 x 2 x 2(x + 2y) (x +2y)

Taking 2(x + 2y)2 common then, we get

2(x + 2y) (3(x + 2y) + 4)

2(x+2y)? (3x + 6y + 4)

2(x + 2y) (3x + 6y+4)

Hence, the expression factorize as

2(x + 2y) (3x + 6y + 4)

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