Question

Factorize: $25x^2-90xy+81y^2$

• A. $(9x+5y{)}^2$
• B. $(9x-5y{)}^2$
• C. $(5x-9y{)}^2$
• D. $(5x-9y{)}^2$

Answer 1

The correct option is D $(5x-9y{)}^2$

$\Rightarrow 25x^2-90xy+81y^2$
$\Rightarrow 25x^2-45xy-45xy+81y^2$
$\Rightarrow 5x(5x-9y)-9y(5x-9y)$
$\Rightarrow (5x-9y)(5x-9y$
$\Rightarrow (5x-9y{)}^2$