Question

if a+b=8 and ab=15, find:a³+b³​

Answer 1

Answer:

The value of "a³+b³" will be "152".

Step-by-step explanation:

a3 + b3 = (a + b)3 – 3ab ( a + b)

= (8)3 – 3(15) (8) = 512 – 360 = 152

hope it helps.

Answer 2

Given:

$a+b=8$ and $ab=15$

To Find:

Find the value of $a^{3} + b^{3}$.

Solution:

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

$=(a+b)(a^{2} -ab +b^{2})$

$=(a+b)([a+b]^{2} - 3ab)$

Putting the values we get,

$=(8)([8]^2 - 3*15)$

$= (8)(64- 45)$

$=8*19$

$=152$

Therefore, the value of $a^{3} + b^{3}$. is 152