Question

factories a4-b4 please

Answer 1

a⁴ - b⁴
= (a²)² - (b²)²
= (a²-b²)(a²+b²)
= (a+b)(a-b)(a²+b²)

Answer 2

a⁴ - b⁴ = (a + b)(a - b)(a² + b²)

Given :

The expression a⁴ - b⁴

To find :

To factorise the expression

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

a⁴ - b⁴

Step 2 of 2 :

Factorise the expression

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

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

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

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

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

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