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Problem 220

Algebra Difficulty 1.8 Find the answer CEMC Pascal

What is the value of $1^{3}+2^{3}+3^{3}+4^{3}$ ?

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Official solution

Expanding and simplifying, $1^{3}+2^{3}+3^{3}+4^{3}=1 \times 1 \times 1+2 \times 2 \times 2+3 \times 3 \times 3+4 \times 4 \times 4=1+8+27+64=100$ . Since $100=10^{2}$ , then $1^{3}+2^{3}+3^{3}+4^{3}=10^{2}$ .

Source: Omni-MATH, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.