SOLUTION: Can you simplify the following equations: 3X^2-4x-15/ x^2-4x+3 X^2Y^3/X^-3y^5 (5x^3y^0)^-2 What's the factor of the following trinomial: 2X^2+5x-12

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Question 717388: Can you simplify the following equations:
3X^2-4x-15/ x^2-4x+3

X^2Y^3/X^-3y^5
(5x^3y^0)^-2
What's the factor of the following trinomial: 2X^2+5x-12

Found 2 solutions by lynnlo, stanbon:
Answer by lynnlo(4176) (Show Source):
You can put this solution on YOUR website!
SIMPLIFY
(1)3x+5/x-1
(2)xy^3-3y^5
(3)25x^6
FACTOR
(4)(x+4)(2x-3)

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
simplify the following :
3X^2-4x-15/ x^2-4x+3
Factor:
[3x^2-9x+5x-15] / [(x-3)(x-1)]
-----
[3x(x-3)+5(x-3)] / [(x-3)(x-1)]
-----
= [(x-3)(3x+5)] / [(x-3)(x-1)]
-----
= (3x+5)/(x-1)
===========================
X^2Y^3/X^-3y^5
---------
= (x^2/x^-3)(y^3/y^5)
------
= (x^5)(1/y^2)
----
= x^5/y^2
===========================

(5x^3y^0)^-2
----
= 1/(25x^6)
===========================

What's the factor of the following trinomial:
2X^2+5x-12
----
= 2x^2+8x-3x-12
----
= 2x(x+4)-3(x+4)
----
= (x+4)(2x-3)
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Cheers,
Stan H.
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