Question

find the product of (a²+ b²) (a²-b²)​

Answer 1

Answer:

a^4 -b^4

Step-by-step explanation:

--> a^4+a^2b^2-a^2b^2-b^4

--> a^4-b^4

Answer 2

(a² + b²)(a² - b²) = a⁴ - b⁴

Given :

The expression (a² + b²)(a² - b²)

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

(a² + b²)(a² - b²)

Step 2 of 2 :

Find the product

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

$\sf ( {a}^{2} + {b}^{2} )( {a}^{2} - {b}^{2} )$

$\sf = {( {a}^{2} )}^{2} - {( {b}^{2} )}^{2}$

$\sf = {a}^{4} - {b}^{4}$

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