Mathematics
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OpenStudy (anonymous):
Simplify
2x^2-5x+3 x^2-4
--------- divided by ------------
4x^2-9 4x^2+14x+12
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OpenStudy (adilalvi):
u mean 1st divided by 2nd
OpenStudy (anonymous):
yes
OpenStudy (adilalvi):
it is very lenthy question.
OpenStudy (anonymous):
@Kainui
OpenStudy (gorv):
u know factorization??
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OpenStudy (gorv):
2x^2-5x+3=2x^2-3x-2x+3
=x(2x-3)-1(2x-3)=(2x-3)(x-1)
OpenStudy (anonymous):
no
OpenStudy (gorv):
4x^2-9=(2x)^2-3^2=(2x-3)(2x+3)
OpenStudy (gorv):
\[\frac{ (2x-3)(x-1) }{ (2x-3)(2x+3)}\]
OpenStudy (gorv):
\[\frac{ x-1 }{ 2x+3 }\]
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OpenStudy (anonymous):
this is the simplified form?
OpenStudy (gorv):
no this is first part ....the part before divide
OpenStudy (gorv):
now term after divide
OpenStudy (gorv):
x^2-4=x^2-2^2=(x-2)(x+2)
OpenStudy (gorv):
4x^2+14x+12=4x^2+8x+6x+14
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OpenStudy (gorv):
4x^2+8x+6x+12
=4x(x+2)+6(x+2)=(x+2)(4x+6)=(x+2)*2*(2x+3)
OpenStudy (gorv):
(x-2)(x+2)/(2*(x+2)(2x+3)=(x-2)/(2*(2x+3)
OpenStudy (gorv):
\[\frac{ x-1 }{ 2x+3 }\div \frac{ x-2 }{2( 2x+3 )}\]
OpenStudy (gorv):
\[\frac{ x-1 }{ 2x+3 }*\frac{ 2(2x+3 )}{ x-2}\]
OpenStudy (gorv):
\[\frac{ 2*(x-1) }{ x-2 }\]
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OpenStudy (gorv):
simplified
OpenStudy (anonymous):
woah that was alot of steps but i understand now thank you so much for helping me :)
OpenStudy (gorv):
welcome :)