Which of the following is equal to the value of 2^2 + 2^2 + 3^2 + 3^2 + 3^2 ?
Which of the following is equal to the value of 2^2 + 2^2 + 3^2 + 3^2 + 3^2 ?
Answer/Solution
2^3 + 3^3
Steps/Work
2^2 + 2^2 + 3^2 + 3^2 + 3^2
= 2 (2^2) + 3 (3^2)
= 2^1 (2^2) + 3^1 (3^2)
= 2^(1+2) + 3^(1+2)
= 2^3 + 3^3
Ans: C
= 2 (2^2) + 3 (3^2)
= 2^1 (2^2) + 3^1 (3^2)
= 2^(1+2) + 3^(1+2)
= 2^3 + 3^3
Ans: C