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Question
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Express as a trinomial.

(2x-2)(3x-5)
Answer Attempt 2 out of 2
Submit Answer

Question $\newline$ Watch Video $\newline$ Express as a trinomial. $\newline$ $(2 x-2)(3 x-5)$ $\newline$ Answer Attempt $2$ out of $2$ $\newline$ Submit Answer

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Multiply two binomials

Full solution

Q. Question

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Watch Video

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Express as a trinomial.

\newline

(2 x-2)(3 x-5)

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Answer Attempt

2

out of

2

\newline

Submit Answer

Distribute terms: First, we gotta distribute each term in the first parenthesis by each term in the second parenthesis, so like $(2x \times 3x) + (2x \times -5) + (-2 \times 3x) + (-2 \times -5)$
Perform multiplication: Now we do the multiplication, $2x$ times $3x$ is $6x^2$ , $2x$ times $-5$ is $-10x$ , $-2$ times $3x$ is $-6x$ , and $-2$ times $-5$ is $3x$ $1$
Combine like terms: Next, we add up like terms, so we got $6x^2$ from the first part, then $-10x$ and $-6x$ make $-16x$ , and don't forget the $10$ at the end
Final trinomial: So, the trinomial is $6x^2 - 16x + 10$ , and that's it, we're done

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