Question

If a + b = 13, and ab = 25, find the value of a3 and b3

Answer 1

Answer:

1222

Step-by-step explanation:

This question can be solved using the formula

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

Now, (a+b)^3=a^3+b^3+3ab(a+b)

13^3=a^3+b^3+3*25*13

2197=a^3+b^3+975

a^3+b^3=2197-975

=1222=Answer

Answer 2

Question - If a + b = 13, and ab = 25, find the value of the sum of a³ and b³

Given - Sum and product of a and b

Find - Value of sum of a³ and b³

Solution - The sum of a³ and b³, as per the given information in question, is 1222.

The (a+b)³ will be expanded as = a³ + b³ + 3ab(a+b).

Keeping the values of the sum and product of a and b to find the value of the sum of a³ and b³.

13³ = a³ + b³ + 3*25*13

a³ + b³ = 2197 - 975

a³ + b³ = 1222

Thus, the sum of a³ and b³, as per the given information in question, is 1222.