Express as a trinomial. (2x-4)(2x-6) Answer:

Apply Distributive Property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the two binomials (2x-4) and (2x-6). First, multiply the first terms in each binomial: (2x)*(2x) = 4x^2.Multiply First Terms: Multiply the outer terms in the binomials: (2x)*(-6) = -12x.Multiply Outer Terms: Multiply the inner terms in the binomials: (-4)*(2x) = -8x.Multiply Inner Terms: Multiply the last terms in each binomial: (-4)*(-6) = 24.Multiply Last Terms: Combine the like terms from the products of the outer and inner terms: -12x - 8x = -20x.Combine Like Terms: Add all the products together to form the trinomial: 4x^2 - 20x + 24.

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Express as a trinomial.

(2x-4)(2x-6)
Answer:

Express as a trinomial. $\newline$ $(2 x-4)(2 x-6)$ $\newline$ Answer:

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Algebra 1

Multiply two binomials

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Q. Express as a trinomial.

\newline

(2 x-4)(2 x-6)

\newline

Answer:

Apply Distributive Property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the two binomials $(2x-4)$ and $(2x-6)$ . First, multiply the first terms in each binomial: $(2x)\cdot(2x) = 4x^2$ .
Multiply First Terms: Multiply the outer terms in the binomials: $(2x)\cdot(-6) = -12x$ .
Multiply Outer Terms: Multiply the inner terms in the binomials: $(-4)\times(2x) = -8x$ .
Multiply Inner Terms: Multiply the last terms in each binomial: $(-4)\times(-6) = 24$ .
Multiply Last Terms: Combine the like terms from the products of the outer and inner terms: $-12x - 8x = -20x$ .
Combine Like Terms: Add all the products together to form the trinomial: $4x^2 - 20x + 24$ .