(-12z^(3)+4z^(2))/(4z^(2)+16 z) Which expression is equivalent to the given expression, for all z < -10 ? Choose 1 answer: (A) (-11 z)/(4) (B) -3z+(z)/(4) (C) (-3z^(2)+z)/(z+4) (D) (3z^(2)-z)/(z+4)

Simplify Expression: First, simplify the given expression: (-12z^(3)+4z^(2))/(4z^(2)+16z). Factor out the common terms in the numerator and the denominator. Numerator: -4z^2(3z-1) Denominator: 4z(z+4)Cancel Common Factor: Next, simplify the expression by canceling out the common factor of 4z^2 in the numerator and the denominator. Simplified expression: (3z-1)/(z+4)Match Simplified Expression: Now, analyze the options given to match the simplified expression. (A) (-11z)/4 does not match the simplified expression. (B) -3z+(z)/4 does not match the simplified expression. (C) (-3z^2+z)/(z+4) does not match the simplified expression. (D) (3z-1)/(z+4) matches the simplified expression.

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(-12z^(3)+4z^(2))/(4z^(2)+16 z)
Which expression is equivalent to the given expression, for all
z < -10 ?
Choose 1 answer:
(A)
(-11 z)/(4)
(B)
-3z+(z)/(4)
(C)
(-3z^(2)+z)/(z+4)
(D)
(3z^(2)-z)/(z+4)

$\frac{-12 z^{3}+4 z^{2}}{4 z^{2}+16 z}$ $\newline$ Which expression is equivalent to the given expression, for all z<-10 ? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{-11 z}{4}$ $\newline$ (B) $-3 z+\frac{z}{4}$ $\newline$ (C) $\frac{-3 z^{2}+z}{z+4}$ $\newline$ (D) $\frac{3 z^{2}-z}{z+4}$

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Full solution

\frac{-12 z^{3}+4 z^{2}}{4 z^{2}+16 z}

\newline

Which expression is equivalent to the given expression, for all

z<-10

\newline

Choose

1

answer:

\newline

(A)

\frac{-11 z}{4}

\newline

(B)

-3 z+\frac{z}{4}

\newline

(C)

\frac{-3 z^{2}+z}{z+4}

\newline

(D)

\frac{3 z^{2}-z}{z+4}

Simplify Expression: First, simplify the given expression: $(-12z^{3}+4z^{2})/(4z^{2}+16z)$ . Factor out the common terms in the numerator and the denominator. $\newline$ Numerator: $-4z^2(3z-1)$ $\newline$ Denominator: $4z(z+4)$
Cancel Common Factor: Next, simplify the expression by canceling out the common factor of $4z^2$ in the numerator and the denominator. $\newline$ Simplified expression: $\frac{3z-1}{z+4}$
Match Simplified Expression: Now, analyze the options given to match the simplified expression. $\newline$ (A) $(-11z)/4$ does not match the simplified expression. $\newline$ (B) $-3z+(z)/4$ does not match the simplified expression. $\newline$ (C) $(-3z^2+z)/(z+4)$ does not match the simplified expression. $\newline$ (D) $(3z-1)/(z+4)$ matches the simplified expression.