Question

if a + b is equal to 10, ab is equal to 21 ,find the value of a a cube + b cube

Answer 1

Answer:

active +b cube=370

Step-by-step explanation:

formula applied is (a+b)^3=a^3+b^3+3(ab)(a+b)

value is given of a+b=10 AND ab=21

Put the values in the formula you will get the answer

Answer 2

Answer:

1000

Step-by-step explanation:

$(a+b)^3 = a^3 + b^3 + 3ab(a+b)\\\\(10)^3 = a^3 + b^3 + 3*21(10)\\\\1000 = a^3 + b^3 + 63*10\\\\1000 = a^3 + b^3 + 630\\\\1000 - 630 = a^3 + b^3\\\\370 = a^3 + b^3\\\\\\\\(a+b)^3 = a^3 + b^3 + 3ab(a+b)\\\\(a+b)^3 = 370 + 630\\\\(a+b)^3 = 1000$

hope it helps you mate...