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Factorization by Grouping Method

Which of the ...

Question

Which of the following is the factorisation of (xy + x + 4y + 4)?

A

(x + 4)(4y + 1)

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B

(4x + 4)(4y + 4)

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C

(3x + 4)(y + 1)

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D

(x + 4)(y + 1)

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Solution

The correct option is D (x + 4)(y + 1)
Given expression: (xy+x+4y+4)

By grouping the terms we get,
xy+x+4y+4
= (xy+x)+(4y+4)
=x(y+1)+4(y+1)
=(y+1)(x+4)

So,
xy+x+4y+4 = (x+4)(y+1)

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