We appreciate your visit to Look at the following expression 3x 5 6x 7 Which is an equivalent expression 1 18x 2 9x 35 2 18x 9x 35 3 18x. 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!
Answer :
To solve this problem, we need to expand the given expression [tex](3x - 5)(6x + 7)[/tex] using the distributive property, often referred to as FOIL (First, Outside, Inside, Last) when dealing with two binomials.
Step-by-step, here's how it's done:
First Terms: Multiply the first terms in each binomial:
[tex]3x \times 6x = 18x^2[/tex]Outside Terms: Multiply the outer terms in the expression:
[tex]3x \times 7 = 21x[/tex]Inside Terms: Multiply the inner terms in the expression:
[tex]-5 \times 6x = -30x[/tex]Last Terms: Multiply the last terms in each binomial:
[tex]-5 \times 7 = -35[/tex]
Now, combine all these results into one expression:
[tex]18x^2 + 21x - 30x - 35[/tex]
Combine like terms (i.e., the [tex]x[/tex] terms):
[tex]18x^2 + (21x - 30x) - 35 = 18x^2 - 9x - 35[/tex]
Thus, the expression equivalent to [tex](3x - 5)(6x + 7)[/tex] is:
[tex]18x^2 - 9x - 35[/tex]
Therefore, the correct multiple-choice option is:
Option 1: [tex]18x^2 - 9x - 35[/tex].
Thanks for taking the time to read Look at the following expression 3x 5 6x 7 Which is an equivalent expression 1 18x 2 9x 35 2 18x 9x 35 3 18x. 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!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
