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Maths Exercices
Difference of Perfect Squares

A Difference of Perfect Squares is a special class of binomial where:

1. Coefficients are perfect squares.
2. Constants are perfect squares.
3. Powers on variable terms are even.

16x2-81 is a perfect square
8x2-81 is not a perfect square, because 8 is not a perfect square

How to factor a binomial that is the difference of perfect squares?

Algebra rule:
To factors the difference of two perfect squares, use the following pattern:


The sum of two perfect squares, a2+b2, is nonfactorable over the integers.

Factor x2-16

Factor x6-4y2