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Difference of Perfect Squares  Problem 1
Alissa Fong
Alissa Fong
MA, Stanford University
Teaching in the San Francisco Bay Area
Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts
I know this is difference of perfect squares because it’s a subtraction problem. There is a difference part and is have a perfect square there that’s my constant and I have even exponents. So I know when I’m given a difference of perfect squares like this the factor form looks like a minus b times a plus b.
So for this problem to factor it I’m going to have the square root of this guy which is x plus and minus, I just changed the order. It’s okay with multiplying to change which one’s in which place. I need the square root of 16, 4. This is it, this is my answer.
The factor form of that difference of perfect square is this. I didn’t have to do any fancy Mathy stuff, I didn’t have to do any guessing checking, I just used the shortcut that I knew the square root of that term, I need a plus and a minus and a square to that term. This is how difference of perfect squares saves you time.
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Alissa Fong
M.A. in Secondary Mathematics, Stanford University
B.S., Stanford University
Alissa has a quirky sense of humor and a relatable personality that make it easy for students to pay attention and understand the material. She has all the math tips and tricks students are looking for.
Your tutorials are good and you have a personality as well. I hope you have more advanced college level stuff, because I like the way you teach.”
Thanks alot for such great lectures... I never found learning this easier ever before... keep up the great work.... :)”
You seem so kind, it's awesome. Easier to learn from people who seem to be rooting for ya!' thanks”
Concept (1)
Sample Problems (8)
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Difference of Perfect Squares
Problem 1 6,913 viewsFactor:
x² − 16 
Difference of Perfect Squares
Problem 2 6,250 viewsFactor:
16x² − 81 
Difference of Perfect Squares
Problem 3 5,315 viewsFactor:
x⁶ − 4y² 
Difference of Perfect Squares
Problem 4 813 views 
Difference of Perfect Squares
Problem 5 752 views 
Difference of Perfect Squares
Problem 6 724 views 
Difference of Perfect Squares
Problem 7 813 views 
Difference of Perfect Squares
Problem 8 840 views
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