Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

Looking for something else?

Not the answer you are looking for? Search for more explanations.

- iwillrektyou

1. The area of a rectangle is (49x2 - 36y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (2 points)
2. The volume of a rectangular box is (x3 + 2x2 - 9x - 18) cubic units. Determine the dimensions of the rectangular box by factoring the volume expression completely. Show your work.

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this

and **thousands** of other questions.

Get your **free** account and access **expert** answers to this and **thousands** of other questions

- iwillrektyou

- chestercat

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this

and **thousands** of other questions

- TheSmartOne

For #1, use the formula:
\(\sf a^2-b^2 = (a-b)(a+b)\)

- iwillrektyou

I did number 1, but I am highly doubtful of my answer. Number 2 is confusing me a little.

- TheSmartOne

What answer did you get?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

- iwillrektyou

I factored out the GCF and couldn't factor it out further, so I got: 9[9x^2 - 4y^2]

- TheSmartOne

How did you even get 9??
Use the formula I gave you (:

- iwillrektyou

I have no idea. I just used 9 because it was a common factor between 49 and 36. I will use your formula, thank you. :)

- TheSmartOne

49 is a perfect square. Its only factors are: 1, 7, 49

- iwillrektyou

Oh shoot careless mistake.

- iwillrektyou

Thanks for pointing it out.

- TheSmartOne

\(\sf a^2-b^2 = (a-b)(a+b)\)
\(\sf 49x^2 - 36y^2 = (7x)^2 - (6y)^2\)
Thus, implying that:
\(\sf a \to 7x\)
\(\sf b \to 6y\)
Plug it into the formula :)

- iwillrektyou

I think I understand the next problem now, I just factor it out (hopefully no careless mistakes this time!)

- TheSmartOne

we're not done with #1 yet :p

- iwillrektyou

QQ Okay.

- iwillrektyou

(7x - 6y) (7x + 6y)?

- TheSmartOne

correct :)

- iwillrektyou

Thanks for the help! This is the answer for #1?

- TheSmartOne

For your second question, do you know how to group factor?

- iwillrektyou

Yes, I think so.

- TheSmartOne

and it is :)

- TheSmartOne

Let me show you an example of group factoring
\(\sf ax + bx + ay + by = x(a+b) + y(a+b) = (x+y)(a+b)\)

- iwillrektyou

Oh yes, I do know how. Can you check my work/answers after I'm done?

- TheSmartOne

sure :)
I'd love to (:

- iwillrektyou

x^3 + 2x^2 - 9x - 18
x^2(x + 2) -9(x + 2)
(x + 2) (x^2 - 9)
(x + 2) (x - 3) (x + 3)

- TheSmartOne

correct :)

- iwillrektyou

Thank you so much for helping me and spending time to read this!!:D

- TheSmartOne

anytime :)

Looking for something else?

Not the answer you are looking for? Search for more explanations.