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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)]⋅f [(9 f+9)+(9 f+9+1)] \cdot f \newlineWhich of the following expressions is equivalent to the given expression?\newlineChoose 11 answer:\newline(A) 18(f2+f) 18\left(f^{2}+f\right) \newline(B) 18f2+18f+1 18 f^{2}+18 f+1 \newline(C) 18(f2+f+1) 18\left(f^{2}+f+1\right) \newline(D) 18f2+19f 18 f^{2}+19 f

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Q. [(9f+9)+(9f+9+1)]⋅f [(9 f+9)+(9 f+9+1)] \cdot f \newlineWhich of the following expressions is equivalent to the given expression?\newlineChoose 11 answer:\newline(A) 18(f2+f) 18\left(f^{2}+f\right) \newline(B) 18f2+18f+1 18 f^{2}+18 f+1 \newline(C) 18(f2+f+1) 18\left(f^{2}+f+1\right) \newline(D) 18f2+19f 18 f^{2}+19 f
  1. Combine like terms: Combine like terms inside the brackets.\newline[(9f+9)+(9f+9+1)]=(9f+9f)+(9+9+1)[(9f + 9) + (9f + 9 + 1)] = (9f + 9f) + (9 + 9 + 1)
  2. Perform addition: Perform the addition inside the brackets.\newline(9f+9f)+(9+9+1)=18f+19(9f + 9f) + (9 + 9 + 1) = 18f + 19
  3. Distribute multiplication: [(9f+9)+(9f+9+1)]⋅f[(9 f+9)+(9 f+9+1)] \cdot f becomes (18f+19)⋅f(18f + 19) \cdot f. \newlineDistribute the multiplication over the sum. \newline(18f+19)⋅f=(18f⋅f)+(19⋅f) (18f + 19) \cdot f = (18f \cdot f) + (19 \cdot f)
  4. Simplify multiplication: Simplify the multiplication. \newline18f⋅f=18f218f \cdot f = 18f^2 and 19⋅f=19f19 \cdot f = 19f
  5. Combine terms: Combine the two terms from the previous step. \newline[(9f+9)+(9f+9+1)]⋅f=18f2+19f[(9 f+9)+(9 f+9+1)] \cdot f = 18f^2 + 19f

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