Express as a trinomial. (x-3)(2x+8) Answer:

Distribute x: Now, we will distribute x across the terms inside the parentheses. x(2x+8) = x(2x) + x(8) = 2x^2 + 8xDistribute -3: Next, we will distribute -3 across the terms inside the parentheses. -3(2x+8) = -3(2x) - 3(8) = -6x - 24Combine like terms: Now, we will combine the like terms from the results of the distributions. (2x^2 + 8x) + (-6x - 24) = 2x^2 + 8x - 6x - 24Simplify expression: Simplify the expression by combining the x terms. 2x^2 + (8x - 6x) - 24 = 2x^2 + 2x - 24

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Express as a trinomial.

(x-3)(2x+8)
Answer:

Express as a trinomial. $\newline$ $(x-3)(2 x+8)$ $\newline$ Answer:

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Math Problems

Algebra 1

Multiply two binomials

Full solution

Q. Express as a trinomial.

\newline

(x-3)(2 x+8)

\newline

Answer:

Distribute $x$ : Now, we will distribute $x$ across the terms inside the parentheses. $x(2x+8) = x(2x) + x(8) = 2x^2 + 8x$
Distribute $-3$ : Next, we will distribute $-3$ across the terms inside the parentheses. $\newline$ $-3(2x+8) = -3(2x) - 3(8) = -6x - 24$
Combine like terms: Now, we will combine the like terms from the results of the distributions. $\newline$ $(2x^2 + 8x) + (-6x - 24) = 2x^2 + 8x - 6x - 24$
Simplify expression: Simplify the expression by combining the $x$ terms. $2x^2 + (8x - 6x) - 24 = 2x^2 + 2x - 24$