Question

if a + b equal to 10 and a b is equal to 16 then find the value of a cube plus b cube​

Answer 1

Answer:

The answer is 520

Step-by-step explanation:

(a^3+b^3)

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

=(10)^3 - 3×16×10

=1000-480

=520.

Answer 2

a+b=10(given)

sq on both side

(a+b)²=(10)²

a²+b²+2ab=100(ab=16 is given)

a²+b²+2(16)=100

a²+b²+32=100

a²+b²=100-32

a²+b²=68.....................[eq 1]

we,know that

a³+b³=(a+b)(a²+b²-ab)

a³+b³=(10)(68-16)

a³+b³=(10)(52)

a³+b³=520