(6x+5)-(12-4x^(2)) Which of the following is equivalent to the given expression? Choose 1 answer: (A) 4x^(2)+6x-7 (B) -4x^(2)+6x-7 (C) 24x^(3)+20x^(2)-72 x-60 (D) -24x^(3)-20x^(2)+72 x+1

Distribute negative sign: We need to simplify the expression (6x+5)-(12-4x^(2)). To do this, we distribute the negative sign to the terms inside the second set of parentheses. Calculation: (6x+5) - 12 + 4x^(2)Combine like terms: Now we combine like terms. There are no other x^(2) terms or x terms to combine with, so we just combine the constant terms. Calculation: 4x^(2) + 6x + 5 - 12Simplify constant terms: Simplify the constant terms by subtracting 12 from 5. Calculation: 4x^(2) + 6x - 7

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(6x+5)-(12-4x^(2))
Which of the following is equivalent to the given expression?
Choose 1 answer:
(A)
4x^(2)+6x-7
(B)
-4x^(2)+6x-7
(C)
24x^(3)+20x^(2)-72 x-60
(D)
-24x^(3)-20x^(2)+72 x+1

$(6 x+5)-\left(12-4 x^{2}\right)$ $\newline$ Which of the following is equivalent to the given expression? $\newline$ Choose $1$ answer: $\newline$ (A) $4 x^{2}+6 x-7$ $\newline$ (B) $-4 x^{2}+6 x-7$ $\newline$ (C) $24 x^{3}+20 x^{2}-72 x-60$ $\newline$ (D) $-24 x^{3}-20 x^{2}+72 x+1$

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Full solution

(6 x+5)-\left(12-4 x^{2}\right)

\newline

Which of the following is equivalent to the given expression?

\newline

Choose

1

answer:

\newline

(A)

4 x^{2}+6 x-7

\newline

(B)

-4 x^{2}+6 x-7

\newline

(C)

24 x^{3}+20 x^{2}-72 x-60

\newline

(D)

-24 x^{3}-20 x^{2}+72 x+1

Distribute negative sign: We need to simplify the expression $(6x+5)-(12-4x^{2})$ . To do this, we distribute the negative sign to the terms inside the second set of parentheses. $\newline$ Calculation: $(6x+5) - 12 + 4x^{2}$
Combine like terms: Now we combine like terms. There are no other $x^{2}$ terms or $x$ terms to combine with, so we just combine the constant terms. $\newline$ Calculation: $4x^{2} + 6x + 5 - 12$
Simplify constant terms: Simplify the constant terms by subtracting $12$ from $5$ . $\newline$ Calculation: $4x^{2} + 6x - 7$