[(9f+9)+(9f+9+1)]*f Which of the following expressions is equivalent to the given expression? Choose 1 answer: (A) 18(f^(2)+f) (B) 18f^(2)+18 f+1 (C) 18(f^(2)+f+1) (D) 18f^(2)+19 f

Combine like terms: Combine like terms inside the brackets. (9f + 9) + (9f + 9 + 1) = 9f + 9 + 9f + 9 + 1Simplify terms: Simplify the terms inside the brackets. 9f + 9f = 18f and 9 + 9 + 1 = 19 So, (9f + 9) + (9f + 9 + 1) = 18f + 19Multiply by f: Multiply the simplified bracket by f. (18f + 19) * f = 18f^2 + 19fCompare with options: Compare the result with the given options. The expression 18f^2 + 19f matches option (D) 18f^2 + 19f.

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[(9f+9)+(9f+9+1)]*f
Which of the following expressions is equivalent to the given expression?
Choose 1 answer:
(A)
18(f^(2)+f)
(B)
18f^(2)+18 f+1
(C)
18(f^(2)+f+1)
(D)
18f^(2)+19 f

$[(9f+9)+(9f+9+1)]\cdot f$ $\newline$ Which of the following expressions is equivalent to the given expression? $\newline$ Choose $1$ answer: $\newline$ (A) $18(f^{2}+f)$ $\newline$ (B) $18f^{2}+18f+1$ $\newline$ (C) $18(f^{2}+f+1)$ $\newline$ (D) $18f^{2}+19f$

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Math Problems

Precalculus

Operations with rational exponents

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[(9f+9)+(9f+9+1)]\cdot f

\newline

Which of the following expressions is equivalent to the given expression?

\newline

Choose

1

answer:

\newline

(A)

18(f^{2}+f)

\newline

(B)

18f^{2}+18f+1

\newline

(C)

18(f^{2}+f+1)

\newline

(D)

18f^{2}+19f

Combine like terms: Combine like terms inside the brackets. $\newline$ $(9f + 9) + (9f + 9 + 1) = 9f + 9 + 9f + 9 + 1$
Simplify terms: Simplify the terms inside the brackets. $\newline$ $9f + 9f = 18f$ and $9 + 9 + 1 = 19$ $\newline$ So, $(9f + 9) + (9f + 9 + 1) = 18f + 19$
Multiply by $f$ : Multiply the simplified bracket by $f$ . $\$18f + 19$ \times f = $18$ f^ $2$ + $19$ f\)
Compare with options: Compare the result with the given options. $\newline$ The expression $18f^2 + 19f$ matches option (D) $18f^2 + 19f$ .