Express as a trinomial. (2x-9)(3x-6) Answer:

Apply Distributive Property: Apply the distributive property (also known as the FOIL method) to multiply the two binomials (2x-9) and (3x-6). (2x-9)(3x-6) = (2x * 3x) + (2x * -6) + (-9 * 3x) + (-9 * -6)Perform Multiplication: Perform the multiplication for each term. (2x * 3x) = 6x^2 (2x * -6) = -12x (-9 * 3x) = -27x (-9 * -6) = 54Combine Like Terms: Combine like terms. 6x^2 + (-12x) + (-27x) + 54 6x^2 - 12x - 27x + 54 6x^2 - 39x + 54

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Express as a trinomial.

(2x-9)(3x-6)
Answer:

Express as a trinomial. $\newline$ $(2 x-9)(3 x-6)$ $\newline$ Answer:

View step-by-step help

Home

Math Problems

Algebra 1

Multiply two binomials

Full solution

Q. Express as a trinomial.

\newline

(2 x-9)(3 x-6)

\newline

Answer:

Apply Distributive Property: Apply the distributive property (also known as the FOIL method) to multiply the two binomials $(2x-9)$ and $(3x-6)$ . $(2x-9)(3x-6) = (2x \cdot 3x) + (2x \cdot -6) + (-9 \cdot 3x) + (-9 \cdot -6)$
Perform Multiplication: Perform the multiplication for each term. $\newline$ $(2x \times 3x) = 6x^2$ $\newline$ $(2x \times -6) = -12x$ $\newline$ $(-9 \times 3x) = -27x$ $\newline$ $(-9 \times -6) = 54$
Combine Like Terms: Combine like terms. $\newline$ $6x^2 + (-12x) + (-27x) + 54$ $\newline$ $6x^2 - 12x - 27x + 54$ $\newline$ $6x^2 - 39x + 54$