This is an exam plz tell me fat guys...
a³-b³
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Answer:
a³-b³= (a – b) (a² + ab + b²)
Step by step verification:
(a3 – b3) = (a – b)(a2 + b2 + ab)
Let us prove this by considering,
a = 4 and b= 2
then,
(43 – 23) = (4 – 2)(42 + 22 + 4 × 2) ...
LHS = 56.
RHS = (a – b)(a2 + b2 + ab) RHS = (4 –2)(42 + 22 +4 × 2).
RHS = 56.
∴ LHS = RHS. (a3 – b3) = (a – b)(a2 + b2 + ab) Hence the proof.
I hope this helps...
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