Express as a trinomial. (x+8)(x-9) Answer:

Apply Distributive Property: Apply the distributive property (also known as the FOIL method) to multiply the two binomials (x+8) and (x-9). (x+8)(x-9) = x(x-9) + 8(x-9)Multiply x Terms: Multiply x by each term in the binomial (x-9). x(x-9) = x*x - x*9 = x^2 - 9xMultiply 8 Terms: Multiply 8 by each term in the binomial (x-9). 8(x-9) = 8*x - 8*9 = 8x - 72Combine Results: Combine the results from Step 2 and Step 3 to get the trinomial. (x^2 - 9x) + (8x - 72) = x^2 - 9x + 8x - 72Combine Like Terms: Combine like terms by adding the coefficients of x. x^2 - 9x + 8x - 72 = x^2 - (9x - 8x) - 72 = x^2 - 1x - 72

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Express as a trinomial.

(x+8)(x-9)
Answer:

Express as a trinomial. $\newline$ $(x+8)(x-9)$ $\newline$ Answer:

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Math Problems

Algebra 1

Multiply two binomials

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Q. Express as a trinomial.

\newline

(x+8)(x-9)

\newline

Answer:

Apply Distributive Property: Apply the distributive property (also known as the FOIL method) to multiply the two binomials $(x+8)$ and $(x-9)$ . $(x+8)(x-9) = x(x-9) + 8(x-9)$
Multiply x Terms: Multiply $x$ by each term in the binomial $(x-9)$ . $x(x-9) = x\times x - x\times 9$ $= x^2 - 9x$
Multiply $8$ Terms: Multiply $8$ by each term in the binomial $(x-9)$ . $\newline$ $8(x-9) = 8\times x - 8\times 9$ $\newline$ $= 8x - 72$
Combine Results: Combine the results from Step $2$ and Step $3$ to get the trinomial. $\newline$ $(x^2 - 9x) + (8x - 72)$ $\newline$ $= x^2 - 9x + 8x - 72$
Combine Like Terms: Combine like terms by adding the coefficients of $x$ . $x^2 - 9x + 8x - 72$ $= x^2 - (9x - 8x) - 72$ $= x^2 - 1x - 72$