How do you factor an expression as a difference of squares?
How do you factor an expression as a difference of squares. Ex: xsquared-(y-z)squared
- teekshi33Lv 41 decade agoFavorite Answer
Okay, so you know a^2 - b^2 = (a + b)(a - b), i hope.
so it would be (x + y - z)[x - (y-z)], or (x + y - z)(x - y + z).
Hope that helps!
- michaellLv 61 decade ago
there is an identity called "the difference of two squares"
A*A - B*B = (A + B) * (A - B)
you can factor an expression by substituting one side of the equation for the other when you recognize that the expression or part of the expression takes this form.
- Bryan JLv 41 decade ago
Every expression of the form: x*x - y*y can be factored into: (x + y) * (x - y).
- Anonymous1 decade ago
x2 – (y – z)2
= (x – (y – z))(x + (y – z))
= (x – y + z)(x + y – z)
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- 1 decade ago
You have to learn to recognise this ...