Question

is the factorization 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,
$(xy+x+4y+4)=(x+4)(y+1)$