Question

Factorize: $x(6x-5y)-4(6x-5y{)}^2$

• A. $(6x+5y)(20y+23x)$
• B. $(6x-5y)(20y-23x)$
• C. $(6x-5y)(20y+23x)$
• D. $(6x-5y)(20y-23x)$

Answer 1

The correct option is D $(6x-5y)(20y-23x)$

$\Rightarrow x(6x-5y)-4(6x-5y{)}^2$

$\text{Take out}(6x-5y)\text{as common term.}$

$\Rightarrow (6x-5y)(x-4(6x-5y\left)\right)$

$\Rightarrow (6x-5y)(x-24x+20y)$

$\Rightarrow (6x-5y)(-23x+20y)$

$\Rightarrow (6x-5y)(20y-23x)$