Question

Factorise the polynomials. x(x + 3y)² + 2y²(x + 3y)​

Answer 1

Step-by-step explanation:

Find the Greatest Common Factor (GCF).

GCF = x+3y

Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

GCF.)

$\tt \red{ \implies\bigg(x+3y \bigg) \bigg(\dfrac{x{(x+3y)}^{2}}{x+3y}+\dfrac{2{y}^{2}(x+3y)}{x+3y} \bigg)}$

Simplify each term in parentheses.

$\tt\pink{\implies (x+3y)(x(x+3y)+2{y}^{2})}$