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

Answer

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Answer

Therefore, only Hiro factored 14 y^{3} correctly, so the answer is (A) Only Hiro.

Steps

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.

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