Fernando factored 45y^(6) as (9y^(3))(5y^(3)). Salma factored 45y^(6) as (3y)(15y^(5)). Which of them factored 45y^(6) correctly? Choose 1 answer: (A) Only Fernando (B) Only Salma (c) Both Fernando and Salma (D) Neither Fernando nor Salma

Analyze Fernando's factorization: Analyze Fernando's factorization. Fernando factored 45y^(6) as (9y^(3))(5y^(3)). Let's check if this factorization is correct by multiplying the factors back together. (9y^(3))(5y^(3)) = 9 * 5 * y^(3+3) = 45y^(6). This is the original expression, so Fernando's factorization is correct.Analyze Salma's factorization: Analyze Salma's factorization. Salma factored 45y^(6) as (3y)(15y^(5)). Let's check if this factorization is correct by multiplying the factors back together. (3y)(15y^(5)) = 3 * 15 * y^(1+5) = 45y^(6). This is also the original expression, so Salma's factorization is correct as well.Determine correct answer: Determine which answer choice is correct based on the previous steps. Since both Fernando and Salma factored 45y^(6) correctly, the correct answer is (C) Both Fernando and Salma.

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Fernando factored
45y^(6) as
(9y^(3))(5y^(3)).
Salma factored
45y^(6) as
(3y)(15y^(5)).
Which of them factored
45y^(6) correctly?
Choose 1 answer:
(A) Only Fernando
(B) Only Salma
(c) Both Fernando and Salma
(D) Neither Fernando nor Salma

Fernando factored $45 y^{6}$ as $\left(9 y^{3}\right)\left(5 y^{3}\right)$ . $\newline$ Salma factored $45 y^{6}$ as $(3 y)\left(15 y^{5}\right)$ . $\newline$ Which of them factored $45 y^{6}$ correctly? $\newline$ Choose $1$ answer: $\newline$ (A) Only Fernando $\newline$ (B) Only Salma $\newline$ (C) Both Fernando and Salma $\newline$ (D) Neither Fernando nor Salma

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Math Problems

Algebra 1

Compare linear and exponential growth

Full solution

Q. Fernando factored

45 y^{6}

\left(9 y^{3}\right)\left(5 y^{3}\right)

\newline

Salma factored

45 y^{6}

(3 y)\left(15 y^{5}\right)

\newline

Which of them factored

45 y^{6}

correctly?

\newline

Choose

1

answer:

\newline

(A) Only Fernando

\newline

(B) Only Salma

\newline

\newline

(D) Neither Fernando nor Salma

Analyze Fernando's factorization: Analyze Fernando's factorization. $\newline$ Fernando factored $45y^{6}$ as $(9y^{3})(5y^{3})$ . Let's check if this factorization is correct by multiplying the factors back together. $\newline$ $(9y^{3})(5y^{3}) = 9 \times 5 \times y^{3+3} = 45y^{6}$ . $\newline$ This is the original expression, so Fernando's factorization is correct.
Analyze Salma's factorization: Analyze Salma's factorization. $\newline$ Salma factored $45y^{6}$ as $(3y)(15y^{5})$ . Let's check if this factorization is correct by multiplying the factors back together. $\newline$ $(3y)(15y^{5}) = 3 \times 15 \times y^{1+5} = 45y^{6}$ . $\newline$ This is also the original expression, so Salma's factorization is correct as well.
Determine correct answer: Determine which answer choice is correct based on the previous steps. $\newline$ Since both Fernando and Salma factored $45y^{6}$ correctly, the correct answer is (C) Both Fernando and Salma.