Question

If a + b = 12 and ab = 35, then find the value of a^3 + b^3

Answer 1

the answer is 468

because here a and b are 7 and 5 so 7^3 + 5^3

Answer 2

SOLUTION

GIVEN

a + b = 12 and ab = 35

TO DETERMINE

The value of

$\sf{ {a}^{3} + {b}^{3} }$

EVALUATION

Here it is given that a + b = 12 and ab = 35

Now

$\sf{ {a}^{3} + {b}^{3} }$

$\sf{ = {(a + b)}^{3} - 3ab(a + b)}$

$\sf{ = {(12)}^{3} - 3 \times 35 \times 12}$

= 1728 - 1260

= 468

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