Question

Simplify the following using suitable identity
(a+b)(a-b)(a^2-ab+b^2)(a^2+ab+b^2)

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Answer 1

Answer:

(a^3+b^3)(a^3-b^3)

and multiply this

Answer 2

SOLUTION :-

Here, you need only two formulas which are very important for the solution of this simplification.

(1) a³+b³ = (a+b) (a²-ab+b²)

(1) a³+b³ = (a+b) (a²-ab+b²)(2) a³-b³ = (a-b) (a²+ab+ b²)

Let's proceed the solution now :

(a+b) (a-b) (a²-ab+b²) (a²+ab+b²)

= (a+b) (a²-ab+b²) (a-b) (a²+ab+b²)

= (a³+b³) (a³-b³) [ANS.]