Question

Factories the following expressions
a4-b4

Answer 1

Answer:

a⁴-b⁴ = = (a+b)(a-b)(a²+b²)

Step-by-step explanation:

Given a⁴-b⁴

= (a²)²-(b²)²

= (a²-b²)(a²+b²)

/* By algebraic identity :

x²-y² = (x-y)(x+y) */

= (a+b)(a-b)(a²+b²)

Therefore,

a⁴-b⁴ = = (a+b)(a-b)(a²+b²)

•••♪

Answer 2

A4=(a2)2

B4=(b2)2

a4-b4=

(a2)2-(b2)2

=(a2-b2)(a2+b2)

=(a+b)(a-b)(a2+b2)

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