Problem
Hiro factored \( 14 y^{3} \) as \( \left(7 y^{2}\right)(2 y) \) Bilal factored \( 14 y^{3} \) as \( (10 y)\left(4 y^{2}\right) \) Which of them factored \( 14 y^{3} \) correctly? Choose 1 answer: (A) Only Hiro (B) Only Bilal Both Hiro and Bilal Neither Hiro nor Bilal
Solution
Step 1 ：The prime factorization of 14 y^{3} is 2\cdot7\cdot y\cdot y\cdot y.
Step 2 ：Hiro's factored expression is (7 y^{2})(2 y) = 14y^3.
Step 3 ：Bilal's factored expression is (10 y)(4 y^{2}) = 40y^3.
Step 4 ：Therefore, only Hiro factored 14 y^{3} correctly, so the answer is (A) Only Hiro.
