(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

Apply distributive property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the two binomials. (x+2)(x-10) = x(x) + x(-10) + 2(x) + 2(-10)Perform multiplication for each term: Perform the multiplication for each term. x(x) = x^2 x(-10) = -10x 2(x) = 2x 2(-10) = -20Combine like terms: Combine the like terms from the multiplication. x^2 - 10x + 2x - 20Add coefficients of x terms: Add the coefficients of the x terms. x^2 - 10x + 2x = x^2 - 8x So the expression becomes: x^2 - 8x - 20Match resulting expression with choices: Match the resulting expression with the given choices. The expression x^2 - 8x - 20 matches with choice (D).

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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

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

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Math Problems

Algebra 1

Compare linear and exponential growth

Full solution

(x+2)(x-10)

\newline

Which of the following is equivalent to the given expression?

\newline

Choose

1

answer:

\newline

(A)

2 x^{2}+12 x-20

\newline

(B)

2 x^{2}-8 x-20

\newline

(C)

x^{2}-20

\newline

(D)

x^{2}-8 x-20

Apply distributive property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the two binomials. $\newline$ $(x+2)(x-10) = x(x) + x(-10) + 2(x) + 2(-10)$
Perform multiplication for each term: Perform the multiplication for each term. $\newline$ $x(x) = x^2$ $\newline$ $x(-10) = -10x$ $\newline$ $2(x) = 2x$ $\newline$ $2(-10) = -20$
Combine like terms: Combine the like terms from the multiplication. $x^2 - 10x + 2x - 20$
Add coefficients of $x$ terms: Add the coefficients of the $x$ terms. $\newline$ $x^$ $2$ - $10$ x + $2$ x = x^ $2$ - $8$ x $\newline$ So the expression becomes: $\newline$ $x^$ $2$ - $8$ x - $20$
Match resulting expression with choices: Match the resulting expression with the given choices. $\newline$ The expression $x^2 - 8x - 20$ matches with choice (D).