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Question 94535: multiply
2x^2 - x - 3/3x^2 + 7x + 4 . 3x^2 - 11x - 20/4x^2 - 9
Answer by jayanthihemkos@yahoo.com(87)   (Show Source):
You can put this solution on YOUR website! multiply
2x^2 - x - 3/3x^2 + 7x + 4 . 3x^2 - 11x - 20/4x^2 - 9
Factorize :
2x^2 - x - 3
2x^2 +2x -3x - 3
2x(x + 1) -3(x + 1)
( 2x - 3) ( x+ 1) are the factors
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3x^2 + 7x + 4
3x^2 + 3x +4x + 4
3x(x+1) +4(x+1)
(3x+4)(x+1) are the factors
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3x^2 - 11x - 20
3x^2 -15x + 4x -20
3x( x - 5) + 4 (x- 5)
( 3x +4) ( x-5) are the factors
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4x^2 -9
(2x)^2-(3)^2
(2x+3)(2x-3) are the factors
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now we have,
(2x-3) (x + 1)/(3x+4)(x+1) *(3x+4)(x-5)/(2x-3)(2x+3)
(2x-3) gets cancelled
(3x+4) gets cancelled
(x+1) gets cancelled
now we have,
(x-5)/(2x + 3)
Hence the solution is (x-5)/(2x + 3)
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