Question

Find the product:(x²-y²)(x²+y²)

Answer 1

Answer:

x^4 - y ^ 4

Step-by-step explanation:

this is the answer

Answer 2

(x² - y²)(x² + y²) = x⁴ - y⁴

Given :

The expression (x² - y²)(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

(x² - y²)(x² + y²)

Step 2 of 2 :

Find the product

We use the formula

a² - b² = ( a + b ) ( a - b )

Thus we get

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

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

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

$\sf = {x}^{4} - {y}^{4}$

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