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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.
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Sample Problems (8)
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Difference of Perfect Squares
Problem 1 7,366 viewsFactor:
x² − 16 
Difference of Perfect Squares
Problem 2 6,785 viewsFactor:
16x² − 81 
Difference of Perfect Squares
Problem 3 5,648 viewsFactor:
x⁶ − 4y² 
Difference of Perfect Squares
Problem 4 1,091 views 
Difference of Perfect Squares
Problem 5 1,010 views 
Difference of Perfect Squares
Problem 6 964 views 
Difference of Perfect Squares
Problem 7 1,102 views 
Difference of Perfect Squares
Problem 8 1,140 views
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