How do you factor an expression as a difference of squares. Ex: xsquared-(y-z)squared
2006-12-17 05:56:54 · 5 answers · asked by egethepege 3 in Science & Mathematics ➔ Mathematics
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!
2006-12-17 06:00:05 · answer #1 · answered by teekshi33 4 · 1⤊ 0⤋
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.
2006-12-17 06:24:47 · answer #2 · answered by michaell 6 · 0⤊ 0⤋
Every expression of the form: x*x - y*y can be factored into: (x + y) * (x - y).
2006-12-17 06:00:21 · answer #3 · answered by Bryan J 4 · 0⤊ 0⤋
x2 – (y – z)2
= (x – (y – z))(x + (y – z))
= (x – y + z)(x + y – z)
2006-12-17 06:03:42 · answer #4 · answered by Anonymous · 0⤊ 0⤋
You have to learn to recognise this ...
x^2-a^2 =(x-a)(x+a)
2006-12-17 05:58:58 · answer #5 · answered by Cubic Spline 3 · 0⤊ 0⤋