Question

a power 4 minus b power 4 expand​

Answer 1

= a^4 - b^4

= (a^2)^2 - (b^2)^2

= (a^2 - b^2)(a^2+ b^2)

= (a-b)(a+b)(a^2 + b^2) answer...

I hope it was helpful... :)

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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