Math, asked by ADVENTUREDAY09, 5 hours ago

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Solve the following with the method:
Method - (a + b)³=a³+3×a²×b+3×a×b²+b³

1. 50³
2. 1002³
3. 678³
4. 901³
5. 5890³
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.
.
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Answers

Answered by itzurAria99
7

Answer:

Answer is 1,125000

Answer 2 1006012008

Answer. 3 311665752

Answer. 4. 731432701

Answer 5. 204336469000

okk

Answered by Anonymous
1

What is the formula for a³-b³?

a³-b³=(a-b)(a²+ab+b²)

Proof

We know

(a-b)³=a³-b³-3a²b+3b²a

a³-b³=(a-b)³+3a²b-3b²a

a³-b³=(a-b)³+3ab(a-b)

Taking (a-b) common

a³-b³=(a-b)((a-b)²+3ab)

Using indentity (a-b)²=a²+b²-2ab

a³-b³=(a-b)(a²+b²-2ab+3ab)

Therefore a³-b³=(a-b)(a²+b²+ab)

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