Question

Factorise the expression: $50x^3-18x{y}^2$

• A. 2x(5x+3y)(5x+3y)
• B. 2x(5x-3y)(5x-3y)
• C. 2x(5x-3y)(5x+3y)
• D. 3x(5x-3y)(5x+3y)

Answer 1

The correct option is C 2x(5x-3y)(5x+3y)

The given expression is $50x^3-18x{y}^2$
Taking 2x common we get
= $2x(25x^2-9y^2)$
= $2x\left[\right(5x{)}^2-\left(3y{)}^2\right]$
= $2x(5x-3y)(5x+3y)$
[Using $a^2-b^2=(a+b)(a-b)$]
= $2x(5x-3y)(5x+3y)$