Express as a trinomial. (x-4)(2x+2) Answer:

Distribute and Multiply: Apply the distributive property to multiply the two binomials. We will distribute each term in the first binomial, (x-4), across the second binomial, (2x+2). (x-4)(2x+2) = x(2x+2) - 4(2x+2)Multiply x by Terms: Multiply x by each term in the second binomial. x(2x+2) = x(2x) + x(2) = 2x^2 + 2xMultiply -4 by Terms: Multiply -4 by each term in the second binomial. -4(2x+2) = -4(2x) - 4(2) = -8x - 8Combine Results: Combine the results from Step 2 and Step 3. (2x^2 + 2x) + (-8x - 8) = 2x^2 + 2x - 8x - 8Combine Like Terms: Combine like terms. 2x^2 + (2x - 8x) - 8 = 2x^2 - 6x - 8

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Express as a trinomial.

(x-4)(2x+2)
Answer:

Express as a trinomial. $\newline$ $(x-4)(2 x+2)$ $\newline$ Answer:

View step-by-step help

Home

Math Problems

Algebra 1

Multiply two binomials

Full solution

Q. Express as a trinomial.

\newline

(x-4)(2 x+2)

\newline

Answer:

Distribute and Multiply: Apply the distributive property to multiply the two binomials. $\newline$ We will distribute each term in the first binomial, $(x-4)$ , across the second binomial, $(2x+2)$ . $\newline$ $(x-4)(2x+2) = x(2x+2) - 4(2x+2)$
Multiply $x$ by Terms: Multiply $x$ by each term in the second binomial. $x(2x+2) = x(2x) + x(2) = 2x^2 + 2x$
Multiply $-4$ by Terms: Multiply $-4$ by each term in the second binomial. $\newline$ \(-4( $2$ x+ $2$ ) = $-4$ ( $2$ x) - $4$ ( $2$ ) = $-8$ x - $8$
Combine Results: Combine the results from Step $2$ and Step $3$ . $\newline$ $(2x^2 + 2x) + (-8x - 8) = 2x^2 + 2x - 8x - 8$
Combine Like Terms: Combine like terms. $2x^2 + (2x - 8x) - 8 = 2x^2 - 6x - 8$