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(x+2)(x-10) Which of the following is equivalent to the given expression? Choose 1 answer: (A) 2x^(2)+12 x-20 (B) 2x^(2)-8x-20 (c) x^(2)-20 (D) x^(2)-8x-20

(x+2)(x−10) (x+2)(x-10) \newlineWhich of the following is equivalent to the given expression?\newlineChoose 11 answer:\newline(A) 2x2+12x−20 2 x^{2}+12 x-20 \newline(B) 2x2−8x−20 2 x^{2}-8 x-20 \newline(C) x2−20 x^{2}-20 \newline(D) x2−8x−20 x^{2}-8 x-20

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Q. (x+2)(x−10) (x+2)(x-10) \newlineWhich of the following is equivalent to the given expression?\newlineChoose 11 answer:\newline(A) 2x2+12x−20 2 x^{2}+12 x-20 \newline(B) 2x2−8x−20 2 x^{2}-8 x-20 \newline(C) x2−20 x^{2}-20 \newline(D) x2−8x−20 x^{2}-8 x-20
  1. Apply distributive property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the two binomials.\newline(x+2)(x−10)=x(x)+x(−10)+2(x)+2(−10)(x+2)(x-10) = x(x) + x(-10) + 2(x) + 2(-10)
  2. Perform multiplication for each term: Perform the multiplication for each term.\newlinex(x)=x2x(x) = x^2\newlinex(−10)=−10xx(-10) = -10x\newline2(x)=2x2(x) = 2x\newline2(−10)=−202(-10) = -20
  3. Combine like terms: Combine the like terms from the multiplication. x2−10x+2x−20x^2 - 10x + 2x - 20
  4. Add coefficients of x terms: Add the coefficients of the x terms.\newlinex^22 - 1010x + 22x = x^22 - 88x\newlineSo the expression becomes:\newlinex^22 - 88x - 2020
  5. Match resulting expression with choices: Match the resulting expression with the given choices.\newlineThe expression x2−8x−20x^2 - 8x - 20 matches with choice (D).

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