(2x-9)(x+10) (A) 2x^(2)+11 x-90 (B) 2x^(2)-9x-90 (C) 2x^(2)+9x-90 (D) 2x^(2)-11 x-90

Identify binomials: Identify the binomials to be multiplied. We have two binomials: (2x-9) and (x+10).Apply distributive property: Apply the distributive property (also known as the FOIL method) to multiply the binomials. First terms: 2x * x = 2x^2 Outer terms: 2x * 10 = 20x Inner terms: -9 * x = -9x Last terms: -9 * 10 = -90Combine like terms: Combine like terms from the multiplication. Combine 20x and -9x to get 11x. So, the expression becomes 2x^2 + 11x - 90.

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(2x-9)(x+10)
(A) 2x^(2)+11 x-90
(B) 2x^(2)-9x-90
(C) 2x^(2)+9x-90
(D) 2x^(2)-11 x-90

$(2 x-9)(x+10)$ $\newline$ (A) $2 x^{2}+11 x-90$ $\newline$ (B) $2 x^{2}-9 x-90$ $\newline$ (C) $2 x^{2}+9 x-90$ $\newline$ (D) $2 x^{2}-11 x-90$

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(2 x-9)(x+10)

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(A)

2 x^{2}+11 x-90

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(B)

2 x^{2}-9 x-90

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(C)

2 x^{2}+9 x-90

\newline

(D)

2 x^{2}-11 x-90

Identify binomials: Identify the binomials to be multiplied. $\newline$ We have two binomials: $(2x-9)$ and $(x+10)$ .
Apply distributive property: Apply the distributive property (also known as the FOIL method) to multiply the binomials. $\newline$ First terms: $2x \times x = 2x^2$ $\newline$ Outer terms: $2x \times 10 = 20x$ $\newline$ Inner terms: $-9 \times x = -9x$ $\newline$ Last terms: $-9 \times 10 = -90$
Combine like terms: Combine like terms from the multiplication. $\newline$ Combine $20x$ and $-9x$ to get $11x$ . $\newline$ So, the expression becomes $2x^2 + 11x - 90$ .