why is x^2 - 16
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x^2 - 4x a perfect square ?
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OpenStudy (luigi0210):
because you can separate it into two equations with the same and opposite number..? I don't know how to explain this ^_^'
(x-4)(x+4)
OpenStudy (gabylovesyou):
but why 4 ?
OpenStudy (luigi0210):
it multiplies to 16
OpenStudy (gabylovesyou):
ohhhhhhhh ok
OpenStudy (luigi0210):
Not really a good explanation but it's all I got :P
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OpenStudy (campbell_st):
I don't think its a perfect square as it factorises to
\[\frac{(x + 4)(x -4)}{x(x - 4)}\]
OpenStudy (campbell_st):
just a thought
OpenStudy (luigi0210):
>.< I did not see that fraction there..
OpenStudy (gabylovesyou):
how do i do 3x^2 + 15
OpenStudy (luigi0210):
factor out a 3
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OpenStudy (campbell_st):
a perfect square
\[(a + b)^2 = (a + b)(a + b) = a^2 + 2ab + b^2\]
I always thought they has 3 terms...
your question has the difference of 2 squares in the numerator and a quadratic binomial in the denominator
OpenStudy (gabylovesyou):
u cant its just 3 isnt it ?
OpenStudy (gabylovesyou):
ohh ok @campbell_st
OpenStudy (luigi0210):
3(x^2+5)
OpenStudy (luigi0210):
wait are you solving it?
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OpenStudy (gabylovesyou):
howd u get that :/
OpenStudy (gabylovesyou):
u cant do anything with the 3 so it stays like that ..
x^2 , one will go with the 3 (3x) and the other in parenthesis 3x(x
but howd u get + 5 ? cuz of 3 * 5 ? 3x(x + 5)