Question

$\text{Factorise the expression:}2xy+3x+2y+3.$

• A. $(2x+3)(y+1)$
• B. $(x+1)(2y+3)$
• C. $(x+1)(2y+1)$
• D. $(2x+1)(2y+3)$

Answer 1

The correct option is B $(x+1)(2y+3)$

$\text{Given, the expression is}2xy+3x+2y+3.$

$\text{Taking x common from the first two}\text{terms and 1 common from the last}\text{two terms, we get}$

$2xy+3x+2y+3=x(2y+3)+1(2y+3)=(x+1)(2y+3)$