2007-12-22 14:03:08 · 8 answers · asked by ☆♥ C&ice♥☆ 2 in Science & Mathematics ➔ Mathematics
[07]
x^2-4x+4
=(x)^2-2*x*2+(2)^2
=(x-2)^2
Therefore ,it is a perfect square
Please note that trinomials which can be expressed in the form of a^2+2ab+b^2 or a^2-2ab+b^2 are perfect squares
2007-12-22 14:29:27 · answer #1 · answered by alpha 7 · 0⤊ 0⤋
Yes, as factored this will give you
(x - 2)²
-2*-2 = 4 and -2 + (-2) = -4.
2007-12-22 14:06:28 · answer #2 · answered by Jacob A 5 · 0⤊ 0⤋
x² -4x + 4 = x² -2x - 2x + 4 =
x(x-2) - 2(x-2)
(x-2)(x-2)
Yes it is a perfect square
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2007-12-22 14:07:08 · answer #3 · answered by A Little Sarcasm Helps 5 · 0⤊ 0⤋
compare with
(a - b)² =a² - 2ab +b²
x^2-4x+4 = (x - 2)²
2007-12-22 14:19:45 · answer #4 · answered by mth2006to 3 · 0⤊ 0⤋
Yes. It's (x-2)².
2007-12-22 14:23:20 · answer #5 · answered by steiner1745 7 · 0⤊ 0⤋
(x-2)^2
2007-12-22 14:17:27 · answer #6 · answered by someone else 7 · 0⤊ 0⤋
yes. it is the square of (x-2).
2007-12-22 14:07:08 · answer #7 · answered by Anonymous · 0⤊ 0⤋
yup (x-2)(x-2)=x^2-4x+4
so (x-2)^2 is the square binomial
2007-12-22 14:06:30 · answer #8 · answered by a c 7 · 0⤊ 0⤋