(x+y)^2 - (x-y)^2
2006-09-24 14:20:00 · 6 answers · asked by elli 1 in Science & Mathematics ➔ Mathematics
i can't remember how to simplify this....can som1 explain in detail...plz...plz. i've looked in my maths book but i'm not sure which level ov algebra this is??
thanyou!!!!...
2006-09-24 14:21:52 · update #1
i know the answer =4xy
i just don't know how they got that answer?
2006-09-24 14:27:01 · update #2
multiply out everything:
(x+y)^2 - (x-y)^2
= x^2+2xy +y^2 -( x^2-2xy+y^2)
=4xy
2006-09-24 14:55:50 · answer #1 · answered by Anonymous · 0⤊ 0⤋
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2016-10-01 08:09:38 · answer #2 · answered by ? 4 · 0⤊ 0⤋
(x+y)^2 = x^2 + 2xy + y^2
and
(x-y)^2 = x^2 + y^2
so, you get (x^2 + 2xy + y^2) - (x^2 + y^2)
= x^2 + 2xy + y^2 - x^2 - y^2
= x^2 - x^2 + 2xy + y^2 - y^2
=2xy
2006-09-24 15:04:02 · answer #3 · answered by Anonymous · 0⤊ 0⤋
The other guy isn't right.
It is (X2 + Y2) - (X2 - Y2). Which goes to...
X2 + Y2 - X2 + Y2. This goes to....
2Y^2
Looking below, I need to go back to math. And to think I got a 99 on my Course 1 Regents in NYS.
2006-09-24 14:29:24 · answer #4 · answered by rar 2 · 0⤊ 2⤋
x^2+2xy+y^2-X^2-2xy-y^2
so everything gets cancelled out, so its 0
2006-09-24 14:24:11 · answer #5 · answered by Zack C 3 · 0⤊ 2⤋
let me slove it for ya..... go bak to secondary maths. =)
first (x+y)^2
=(x+y)*(x+y)
=(x*(x+y))+(y*(x+y))
=(x2+xy)+(xy+y2)
=x2+2xy+y2
Ok?
Second, go to question~~~
(x+y)^2 -(x-y)^2
=(x2+2xy+y2)-(x2-2xy+y2)
=x2+2xy+y2-x2+2xy-y2
=4xy
easy? cheers~ =D
2006-09-24 14:34:11 · answer #6 · answered by sam45tun 2 · 1⤊ 1⤋