(a-b)^3...solve this
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(a - b) (a - b) (a - b) = (a - b)3
or, (a - b) (a - b) (a - b) = (a - b) (a - b)2
= (a – b) (a2 + b2 - 2ab),
[Using the formula of (a + b) 2 = a2 - 2ab + b2]
= a (a2 + b2 – 2ab) – b (a2 + b2– 2ab)
= a3 + ab2 – 2a2b – ba2 – b3 + 2ab2
= a3 – 3a2b + 3ab2 – b3
or, (a - b) (a - b) (a - b) = (a - b) (a - b)2
= (a – b) (a2 + b2 - 2ab),
[Using the formula of (a + b) 2 = a2 - 2ab + b2]
= a (a2 + b2 – 2ab) – b (a2 + b2– 2ab)
= a3 + ab2 – 2a2b – ba2 – b3 + 2ab2
= a3 – 3a2b + 3ab2 – b3
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(a-b)³
on expanding it by opening bracket....
(a - b)(a2+ ab + b2)
a³-b³-3ab (a-b)
hope it may help you....
on expanding it by opening bracket....
(a - b)(a2+ ab + b2)
a³-b³-3ab (a-b)
hope it may help you....
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