• Ask an Expert
• Get a Professional Answer
• 100% Satisfaction Guarantee

Category: Math Homework
Satisfied Customers: 17710
Experience:  Over 13,000 accepts & 100% feedback in the old math category
3546829
Type Your Math Homework Question Here...
Scott is online now

How do you factor the difference of two squares? How do

Customer Question

How do you factor the difference of two squares?

How do you factor the perfect square trinomial?

How do you factor the sum and difference of two cubes?

Which of these three makes the most sense to you?

Explain why.

Submitted: 3 years ago.
Category: Math Homework
Expert:  Scott replied 3 years ago.

Hi there,

The very end seems cut off: "Please use t"

Thanks,

Scott

Customer: replied 3 years ago.

Please make sure to answer all components of each question. Please DO NOT attach any DQ responses. Respond within the forum.

How do you factor the difference of two squares?

How do you factor the perfect square trinomial?

How do you factor the sum and difference of two cubes?

Which of these three makes the most sense to you?

Explain why.

Please use the "Quote Original" feature when responding to ALL threads, as this will make it easier to follow the discussion. Also, please remember to answer all parts of this DQ to assure full credit for your Discussion Question response. A minimum of 150- to 300 word response is required.

Out of a basic algebra II class

Expert:  Scott replied 3 years ago.

Hi there,

How do you factor the difference of two squares?

A difference of squares is a two term expression. It is in the form a^2-b^2, where "a" and "b" can contain numbers, variables, etc. To factor it, you use the formula (a-b)(a+b).

How do you factor the perfect square trinomial?

A perfect square trinomial is in the form a^2 + 2ab + b^2. Again, a and b can contain numbers and variables. In this case, you factor it as (a+b)^2, which is a perfect square. That's the same thing as (a+b)(a+b).

How do you factor the sum and difference of two cubes?

A sum of cubes is in the form a^3 + b^3. You factor it using the formula (a+b)(a^2 - ab + b^2).

A difference of cubes is in the form a^3 - b^3. You factor it using the formula (a-b)(a^2 + ab + b^2).

To help remember these two, the (a_b) term uses the same sign as the original problem, and the (a^2 _ ab + b^2) term uses the opposite sign for the _ symbol.

Which of these three makes the most sense to you? Explain why.

I think the difference of squares make the most sense and is the easiest to remember and use. It's a simple formula with two terms on the left side and two binomial factors on the right side. The key way I remember it is that it's a difference of squares, and the two binomial factors have different signs.

Let me know if you have any questions on this, and thanks for choosing a high rating!

-Scott

JustAnswer in the News:

Ask-a-doc Web sites: If you've got a quick question, you can try to get an answer from sites that say they have various specialists on hand to give quick answers... Justanswer.com.
JustAnswer.com...has seen a spike since October in legal questions from readers about layoffs, unemployment and severance.
Web sites like justanswer.com/legal
...leave nothing to chance.
Traffic on JustAnswer rose 14 percent...and had nearly 400,000 page views in 30 days...inquiries related to stress, high blood pressure, drinking and heart pain jumped 33 percent.
Tory Johnson, GMA Workplace Contributor, discusses work-from-home jobs, such as JustAnswer in which verified Experts answer people’s questions.
I will tell you that...the things you have to go through to be an Expert are quite rigorous.

What Customers are Saying:

• Wonderful service, prompt, efficient, and accurate. Couldn't have asked for more. I cannot thank you enough for your help. Mary C. Freshfield, Liverpool, UK
< Previous | Next >
• Wonderful service, prompt, efficient, and accurate. Couldn't have asked for more. I cannot thank you enough for your help. Mary C. Freshfield, Liverpool, UK
• This expert is wonderful. They truly know what they are talking about, and they actually care about you. They really helped put my nerves at ease. Thank you so much!!!! Alex Los Angeles, CA
• Thank you for all your help. It is nice to know that this service is here for people like myself, who need answers fast and are not sure who to consult. GP Hesperia, CA
• I couldn't be more satisfied! This is the site I will always come to when I need a second opinion. Justin Kernersville, NC
• Just let me say that this encounter has been entirely professional and most helpful. I liked that I could ask additional questions and get answered in a very short turn around. Esther Woodstock, NY
• Thank you so much for taking your time and knowledge to support my concerns. Not only did you answer my questions, you even took it a step further with replying with more pertinent information I needed to know. Robin Elkton, Maryland
• He answered my question promptly and gave me accurate, detailed information. If all of your experts are half as good, you have a great thing going here. Diane Dallas, TX

• Mr. Gregory White

Satisfied Customers:

91
M.A., M.S. Education / Educational Administration
< Last | Next >

Mr. Gregory White

Satisfied Customers:

91
M.A., M.S. Education / Educational Administration

JACUSTOMER-yrynbdjl-

Satisfied Customers:

49
I have taught college Mathematics for the past 10 years.

SusanAthena

Satisfied Customers:

41
Tutor for Algebra, Geometry, Statistics. Explaining math in plain English.

Dr Arthur Rubin

Satisfied Customers:

37
Ph.D. in Mathematics, California Institute of Technology

mhasan420

Satisfied Customers:

29
BA Maths, Oxford

Don

Satisfied Customers:

17
M.S. Astronautical Engineering. Math/Science/Comp Tutor