Math, asked by kripagurung445, 3 months ago

what is the formula for a cube + b cube​

Answers

Answered by vedantkathole
1

Step-by-step explanation:

In this section, you will learn the formula or expansion for (a3 + b3).

We already know the formula/expansion for (a + b)3.

That is,

(a + b)3 = a3 + b3 + 3ab(a + b)

Case 1 :

(a + b)3 = a3 + b3 + 3ab(a + b)

Subtract 3ab(a + b) from each side.

(a + b)3 - 3ab(a + b) = a3 + b3

Therefore, the formula for (a3 + b3) is

a3 + b3 = (a + b)3 - 3ab(a + b)

Case 2 :

From case 1,

a3 + b3 = (a + b)3 - 3ab(a + b)

a3 + b3 = (a + b)[(a + b)2 - 3ab]

a3 + b3 = (a + b)[a2 + 2ab + b2 - 3ab]

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

Therefore, the formula for (a3 + b3) is

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

So,

(a + b) and (a2 - ab + b2)

are the factors of (a3 + b3).

Note :

Based on our need, either we can use the formula in case 1 or in case 2 for (a3 + b3

Answered by sangeetadevi1140
1

Answer:

Answer is a3+b3 (a+b)3=3ab

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