(x-4)(x-8) Which of the following is equivalent to the given expression? Choose 1 answer: (A) x^(2)-12 x+32 (B) 2x^(2)+4x+32 (c) x^(2)+4x-12 (D) 2x^(2)-12 x+32

Apply distributive property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the first terms of each binomial. (x * x) = x^2Multiply outer terms: Multiply the outer terms of the binomials. (x * -8) = -8xMultiply inner terms: Multiply the inner terms of the binomials. (-4 * x) = -4xMultiply last terms: Multiply the last terms of each binomial. (-4 * -8) = 32Combine like terms: Combine the like terms from steps 2 and 3. -8x + (-4x) = -12xFinal expanded form: Add up all the results from steps 1, 5, and 4 to get the final expanded form. x^2 - 12x + 32

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(x-4)(x-8)
Which of the following is equivalent to the given expression?
Choose 1 answer:
(A)
x^(2)-12 x+32
(B)
2x^(2)+4x+32
(c)
x^(2)+4x-12
(D)
2x^(2)-12 x+32

$(x-4)(x-8)$ $\newline$ Which of the following is equivalent to the given expression? $\newline$ Choose $1$ answer: $\newline$ (A) $x^{2}-12 x+32$ $\newline$ (B) $2 x^{2}+4 x+32$ $\newline$ (C) $x^{2}+4 x-12$ $\newline$ (D) $2 x^{2}-12 x+32$

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Math Problems

Algebra 1

Identify equivalent linear expressions

Full solution

(x-4)(x-8)

\newline

Which of the following is equivalent to the given expression?

\newline

Choose

1

answer:

\newline

(A)

x^{2}-12 x+32

\newline

(B)

2 x^{2}+4 x+32

\newline

(C)

x^{2}+4 x-12

\newline

(D)

2 x^{2}-12 x+32

Apply distributive property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the first terms of each binomial. $(x \times x) = x^2$
Multiply outer terms: Multiply the outer terms of the binomials. $\newline$ $(x \times -8) = -8x$
Multiply inner terms: Multiply the inner terms of the binomials. $\newline$ $(-4 \times x) = -4x$
Multiply last terms: Multiply the last terms of each binomial. $\newline$ $(-4 \times -8) = 32$
Combine like terms: Combine the like terms from steps $2$ and $3$ . $\newline$ $-8x + (-4x) = -12x$
Final expanded form: Add up all the results from steps $1$ , $5$ , and $4$ to get the final expanded form. $x^2 - 12x + 32$