Math, asked by sara6361, 1 year ago

a + b = to 10 ab= 21 then a cube plus b cube equals to to

Answers

Answered by jashansidhubti
6
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Answered by BrainlyPromoter
4
Given,
a+b = 10
ab = 21

We know that,

(a + b)^3 = a^3 + b^4 + 3ab(a + b)

We notice that this identity has the variables whose values we know and also the variables whose value we have to find.

Now we will simply substitute the values into the identity,
(10)^3 = a^3 + b^3 + 3 × 21 × 10
1000 = a^3 + b^3 + 630
a^3 + b^3 = 1000 - 630 = 370
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