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