QuestionAugust 25, 2025

1. Which expressions are equivalent to 3z^2-48 Select TWO correct answers. A (z+4)(z-4) B 3(z+4)(z-4) 3(3z^2-16) D 3(z^2-48) E 3(z^2-16)

1. Which expressions are equivalent to 3z^2-48 Select TWO correct answers. A (z+4)(z-4) B 3(z+4)(z-4) 3(3z^2-16) D 3(z^2-48) E 3(z^2-16)
1. Which expressions are equivalent to 3z^2-48 Select TWO correct answers. A (z+4)(z-4) B 3(z+4)(z-4) 3(3z^2-16) D 3(z^2-48) E 3(z^2-16)

Solution
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Answer

B 3(z+4)(z-4), E 3(z^{2}-16) Explanation 1. Factor the expression The expression 3z^2 - 48 can be factored by taking out the common factor of 3: 3(z^2 - 16). 2. Recognize difference of squares The expression z^2 - 16 is a difference of squares, which factors as (z + 4)(z - 4). 3. Combine the factors Substitute back into the expression: 3(z^2 - 16) = 3(z + 4)(z - 4).

Explanation

1. Factor the expression<br /> The expression $3z^2 - 48$ can be factored by taking out the common factor of 3: $3(z^2 - 16)$.<br />2. Recognize difference of squares<br /> The expression $z^2 - 16$ is a difference of squares, which factors as $(z + 4)(z - 4)$.<br />3. Combine the factors<br /> Substitute back into the expression: $3(z^2 - 16) = 3(z + 4)(z - 4)$.
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