Question

Factorize : x⁷y²- x³y⁶​

Answer 1

Answer:-

    $x^{7$y² - x³ y ⁶

= x³y² ( x⁴ - y⁴)    

 [ Here first we have to take common variables outside the brackets]

now inside the brackets we have x² - y².

= x³y² [ (x²)² - (y²)²]

 = x³y² ( x² + y²) (  x² - y² )                        [   Formula x² - y² = (x + y) (x - y) ]

= x³y² ( x² + y²) ( x + y) ( x - y)