SOLUTION: subtract 4x + 1 - 3x - 2 ----------- ----- - ----------- ----- 25x^2 + 15x + 2

SOLUTION: subtract 4x + 1 - 3x - 2 ----------- ----- - ----------- ----- 25x^2 + 15x + 2 - 30x^2 + 11x + 1

Question 69233: subtract
4x + 1 - 3x - 2
----------------- - -----------------
25x^2 + 15x + 2 - 30x^2 + 11x + 1
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
subtract
4x + 1 - 3x - 2
----------------- - -----------------
25x^2 + 15x + 2 - 30x^2 + 11x + 1
-----------------------------------------------
Factor the denominators to get:
=[(4x+1)/(5x+2)(5x+1)] - [(3x-2)/(5x+1)(6x+1)]
Write each fraction over the least common denominator:
The least common denominator (lcd) is (5x+1)(5x+2)(6x+1)
=[(4x+1)(6x+1)/lcd] -[(3x-2)(5x+2)/lcd]
Combine the numerators and write the sum over the lcd:
=[24x^2+10x+1-(15x^2-4x-4)]/lcd
= (9x^2+14x+5)/lcd
Factor the numerator to get:
=[(9x+5)(x+1)] / [(5x+1)(5x+2)(6x+1)]
There are no factors common to numerator and denominator
so that is the final solution.
Cheers,
Stan H.
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