High School

We appreciate your visit to Which expression is equal to tex 3x 5 2x 7 tex A tex 5x 2 21x 12 tex B tex 6x 2 31x 35 tex. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Which expression is equal to [tex]$(3x - 5)(2x - 7)$[/tex]?

A. [tex]$5x^2 - 21x + 12$[/tex]
B. [tex]$6x^2 - 31x + 35$[/tex]
C. [tex]$6x^2 + 31x - 35$[/tex]
D. [tex]$6x^2 - 31x - 12$[/tex]

Answer :

To find which expression is equal to [tex]\((3x-5)(2x-7)\)[/tex], let's multiply these two binomials using the distributive property, also known as the FOIL method (First, Outer, Inner, Last).

1. First: Multiply the first terms in each binomial:
[tex]\[
3x \cdot 2x = 6x^2
\][/tex]

2. Outer: Multiply the outer terms:
[tex]\[
3x \cdot (-7) = -21x
\][/tex]

3. Inner: Multiply the inner terms:
[tex]\[
-5 \cdot 2x = -10x
\][/tex]

4. Last: Multiply the last terms:
[tex]\[
-5 \cdot (-7) = 35
\][/tex]

Now, combine all these products:
[tex]\[
6x^2 - 21x - 10x + 35
\][/tex]

Combine like terms ([tex]\(-21x\)[/tex] and [tex]\(-10x\)[/tex]):
[tex]\[
6x^2 - 31x + 35
\][/tex]

So, the expression equivalent to [tex]\((3x-5)(2x-7)\)[/tex] is:
[tex]\[
6x^2 - 31x + 35
\][/tex]

Therefore, the correct choice is: [tex]\(6x^2 - 31x + 35\)[/tex].

Thanks for taking the time to read Which expression is equal to tex 3x 5 2x 7 tex A tex 5x 2 21x 12 tex B tex 6x 2 31x 35 tex. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada