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2x(x-2)+3(4-x^(2)) Which of the following is equivalent to the given expression? Choose 1 answer: (A) (6+x)(2-x) (B) (x-6)(x+2) (C) x^(2)+10 (D) x^(2)-4x+12

2x(x−2)+3(4−x2) 2 x(x-2)+3\left(4-x^{2}\right) \newlineWhich of the following is equivalent to the given expression?\newlineChoose 11 answer:\newline(A) (6+x)(2−x) (6+x)(2-x) \newline(B) (x−6)(x+2) (x-6)(x+2) \newline(C) x2+10 x^{2}+10 \newline(D) x2−4x+12 x^{2}-4 x+12

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Full solution

Q. 2x(x−2)+3(4−x2) 2 x(x-2)+3\left(4-x^{2}\right) \newlineWhich of the following is equivalent to the given expression?\newlineChoose 11 answer:\newline(A) (6+x)(2−x) (6+x)(2-x) \newline(B) (x−6)(x+2) (x-6)(x+2) \newline(C) x2+10 x^{2}+10 \newline(D) x2−4x+12 x^{2}-4 x+12
  1. Perform Multiplication: Now, let's do the multiplication. 2x2−4x+12−3x22x^2 - 4x + 12 - 3x^2
  2. Combine Like Terms: Combine like terms.\newline(2x2−3x2)−4x+12(2x^2 - 3x^2) - 4x + 12
  3. Simplify Expression: Simplify the expression. −x2−4x+12-x^2 - 4x + 12

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