Question

Factorize 36(3x-2)² - 25(2-x)²

Answer 1

Given:-

`36(3x-2)^2-25(2-x)^2`

To find:-

The required solution.

Now we simplify it. we get,

`\begin{gathered} 36(3x-2)^2-25(2-x)^2=36(9x^2-12x+4)-25(4-2x+x^2) \\ \text{ =324x}^2-432x+144-100+50x-25x^2 \\ =299x^2-382x+144 \end{gathered}`

So the equation is,

`299x^2-382x+144`