Question

Match the following with their factorised form

• A. $3xy(x+2y)$
• B. $2xy(x^2+2y)$
• C. $4x^2{y}^2(x+2y)$
• D. $3xy(2x+3y+4y^2)$

Answer 1

The expressions can be factorised as shown:

(i) $3x^{2}y+6x{y}^2$ $\text{Taking}3xy\text{common we get}$ $3xy(x+2y)$

(ii) $2x^{3}y+4x{y}^2$ $\text{Taking}2xy\text{common we get}$ $2xy(x^2+2y)$

(iii) $4x^3{y}^2+8x^2{y}^3$
$\text{Taking}4x^2{y}^2\text{common we get}$ $4x^2{y}^2(x+2y)$

(iv) $6x^{2}y+9x{y}^2\mathrm{+\; 12}x{y}^3$
$\text{Taking}3xy\text{common we get}$ $3xy(2x+3y+4y^2)$