Question

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

• A. (x + 4)(4y + 1)
• B. (4x + 4)(4y + 4)
• C. (3x + 4)(y + 1)
• D. (x + 4)(y + 1)

Answer 1

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)