SOLUTION: Simplify completely: ( x - 3 )/( 4x - 3y ) multiplied by ( 16x2 - 9y2 )/( 3x2 - 5x

SOLUTION: Simplify completely: ( x - 3 )/( 4x - 3y ) multiplied by ( 16x2 - 9y2 )/( 3x2 - 5x - 12 )

Question 93250: Simplify completely:
( x - 3 )/( 4x - 3y ) multiplied by ( 16x2 - 9y2 )/( 3x2 - 5x - 12 )
Answer by jayanthihemkos@yahoo.com(87) (Show Source): You can put this solution on YOUR website!
Solution:
x - 3 )/( 4x - 3y )*( 16x2 - 9y2 )/( 3x2 - 5x - 12 ) ---------(1)
16x2 - 9y2
this can be written in the form
( 4x )^2 -(3y)^2 [( a^2-b^2 = (a+b)(a-b))]
==> (4x-3y)(4x+3y)-----------(2)
consider 3x2 - 5x - 12
Factorize : 3x^2-9x+4x-12

3x(x-3)+4(x-3)
(3x+4)(x-3)--------(3)
pluggin (2) and (3 )in (1)
(x - 3 )/( 4x - 3y *(4x-3y)(4x+3y)/(3x+4)(x-3)
(x-3) in the numerator and in the denominator gets cancelled
(4x-3y) in the numerator and denominator gets cancelled
Now we have ,
4x+3y/3x+4
hence the solution

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