Math, asked by kavyanshkumar6567, 3 months ago

(a+b) (a^2-ab+b^2)=a^3+b^3

Answers

Answered by Mandvee

2

Step-by-step explanation:

(a-b)(a²+ab+b²)

= a(a²+ab+b²) -b(a²+ab+b²)

=a³+ a²b+ ab²- a²b- ab²- b³

=(a³-b³) + (a² b -a²b) + (ab²- ab²)

=a³-b³ + 0+ 0

=a³-b³

(a-b)(a²+ab+b²)= a³-b³

hence proved

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