Question

Factorise xy^9-x^9y
Please help

Answer 1

Answer:

Given :-

➪ xy⁹ - x⁹y

Solution :-

➪ xy⁹ - x⁹y

➭ xy(y⁸ - x⁸)

➭ xy{(y⁴)² - (x⁴)²}

➭ xy(y⁴ + x⁴) (y⁴ - x⁴)

➭ xy(y⁴ + x⁴) {(y²)² - (x²)²}

➭ xy(y⁴ + x⁴) (y² + x²) (y² - x²)

➭ xy(y⁴ + x⁴) (y² + x²) {(y)² - (x)²}

➭ xy(y⁴ + x⁴) (y² + x²) (y + x) (y - x)

➭ xy(x⁴ + y⁴) (x² + y²) (x + y) (-1) (x - y) [$\because$ (b - a) = -1(a - b)]

- xy(x⁴ + y⁴) (x² + y²) (x + y) (x - y)

∴ The value of xy⁹ - x⁹y is

- xy(x⁴ + y⁴) (x² + y²) (x + y) (x - y)

Answer 2

Answer:

I will tell you

Step-by-step explanation:

xy⁹ - x⁹y

xy⁹ - x⁹y => xy(y⁸ - x⁸) [ taking common]

xy⁹ - x⁹y => xy(y⁸ - x⁸) [ taking common]=> xy((y⁴)² - (x⁴)²)

BY USING IDENTITY a² - b² = (a+b)(a-b)

xy(y⁴ + x⁴)(y⁴ - x⁴)

xy(y⁴ + x⁴)((y²)² -(x²)²)

xy(y⁴ + x⁴ )(y² + x²)(y² -x²)

xy(y⁴ + x⁴ )(y² + x²)(y+x)(y-x)