Question

find the product of (x+y)(x-y)(x2+y2)

Answer 1

(x+y)(x-y)(x^2+y^2)
=(x^2-y^2)(x^2+y^2)
=x^4-y^4
Hope it will be helpful.

Answer 2

(x + y)(x - y)(x² + y²) = (x⁴ - y⁴)

Given :

The expression (x + y)(x - y)(x² + y²)

To find :

The product

Formula :

a² - b² = ( a + b ) ( a - b )

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is (x + y)(x - y)(x² + y²)

Step 2 of 2 :

Find the product

We use the formula a² - b² = ( a + b ) ( a - b )

Thus we get

$\displaystyle \sf{(x + y)(x - y)( {x}^{2} + {y}^{2} ) }$

$\displaystyle \sf{ =( {x}^{2} - {y}^{2} )( {x}^{2} + {y}^{2} ) }$

$\displaystyle \sf{ =( {x}^{2} + {y}^{2} )( {x}^{2} - {y}^{2} ) }$

$\displaystyle \sf{ = {( {x}^{2} )}^{2} - {( {y}^{2} )}^{2} }$

$\displaystyle \sf{ =( {x}^{4} - {y}^{4} ) }$