(x-9)(x-6) Which of the following is equivalent to the given expression? Choose 1 answer: (A) x^(2)+3x-15 (B) x^(2)-15 x-15 (C) 2x^(2)-3x+54 (D) x^(2)-15 x+54

Use Distributive Property: To find the equivalent expression for the product (x-9)(x-6), we will use the distributive property (also known as the FOIL method for binomials) to expand the expression. This involves multiplying each term in the first binomial by each term in the second binomial.Multiply First Terms: First, we multiply the first terms of each binomial: x * x = x^2.Multiply Outer Terms: Next, we multiply the outer terms: x * (-6) = -6x.Multiply Inner Terms: Then, we multiply the inner terms: (-9) * x = -9x.Multiply Last Terms: Finally, we multiply the last terms of each binomial: (-9) * (-6) = 54.Combine Like Terms: Now, we combine the like terms (-6x and -9x) to get the final expanded expression: x^2 - 6x - 9x + 54.Simplify Expression: Simplifying the expression by combining the like terms, we get: x^2 - 15x + 54.Compare with Answer Choices: Comparing the simplified expression with the answer choices, we find that it matches with choice (D) x^2 - 15x + 54.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

(x-9)(x-6)
Which of the following is equivalent to the given expression?
Choose 1 answer:
(A)
x^(2)+3x-15
(B)
x^(2)-15 x-15
(C)
2x^(2)-3x+54
(D)
x^(2)-15 x+54

$(x-9)(x-6)$ $\newline$ Which of the following is equivalent to the given expression? $\newline$ Choose $1$ answer: $\newline$ (A) $x^{2}+3 x-15$ $\newline$ (B) $x^{2}-15 x-15$ $\newline$ (C) $2 x^{2}-3 x+54$ $\newline$ (D) $x^{2}-15 x+54$

View step-by-step help

Home

Math Problems

Grade 7

Identify equivalent linear expressions I

Full solution

(x-9)(x-6)

\newline

Which of the following is equivalent to the given expression?

\newline

Choose

1

answer:

\newline

(A)

x^{2}+3 x-15

\newline

(B)

x^{2}-15 x-15

\newline

(C)

2 x^{2}-3 x+54

\newline

(D)

x^{2}-15 x+54

Use Distributive Property: To find the equivalent expression for the product $(x-9)(x-6)$ , we will use the distributive property (also known as the FOIL method for binomials) to expand the expression. This involves multiplying each term in the first binomial by each term in the second binomial.
Multiply First Terms: First, we multiply the first terms of each binomial: $x \times x = x^2$ .
Multiply Outer Terms: Next, we multiply the outer terms: $x \times (-6) = -6x$ .
Multiply Inner Terms: Then, we multiply the inner terms: $(-9) \times x = -9x$ .
Multiply Last Terms: Finally, we multiply the last terms of each binomial: $(-9) \times (-6) = 54$ .
Combine Like Terms: Now, we combine the like terms ( $-6x$ and $-9x$ ) to get the final expanded expression: $x^2 - 6x - 9x + 54$ .
Simplify Expression: Simplifying the expression by combining the like terms, we get: $x^2 - 15x + 54$ .
Compare with Answer Choices: Comparing the simplified expression with the answer choices, we find that it matches with choice (D) $x^2 - 15x + 54$ .