Suppose a classmate claims that the difference between (x + 2)2 and (x2 + 4) must be 0. Is your classmate correct? Choose the best explanation.
A. Yes; (x + 2)2 = x2 + 4; x2 + 4 – (x2 + 4) = 0.
B. Yes; when you substitute –2 for x, (–2 + 2)2 = 0 and (–2)2 + 4 = 0.
C. No; (x + 2)2 = (x2 + 4x+ 4) – (x2 + 4) = 4x + 8.
D. No; (x + 2)2 = x2 + 4x + 4 look at the picturex2 + 4.
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OpenStudy (anonymous):
I think the answer has to be no, but why
OpenStudy (anonymous):
the part that says "look at the picture" is supposed to say "not equal"
OpenStudy (anonymous):
what?
OpenStudy (anonymous):
is it (x+2)^2 ???
OpenStudy (anonymous):
is what (x+2)^2?
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OpenStudy (anonymous):
thats not true though, they dont equal eachother
OpenStudy (anonymous):
\[x^{2} + 4x + 4 = (x+2)^{2}\]
OpenStudy (anonymous):
(x+2)^2 = x^2 +4x+4
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
so, ya, its not true.
x^2 +4x+4 is not equel to x^2 +4 unless x=0
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OpenStudy (anonymous):
but, 2 answers say its not true, it is c or d
OpenStudy (anonymous):
its c. because thesubstracted result is not equel to zero, that one agrees with question