Factor the expression $\frac{2}{x^2+3x-4}+\frac{-3}{x+4}$

Step-by-step Solution

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Final answer to the problem

$\frac{5-3x}{\left(x-1\right)\left(x+4\right)}$
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Step-by-step Solution

How should I solve this problem?

  • Factor
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
  • Integrate by trigonometric substitution
  • Weierstrass Substitution
  • Prove from LHS (left-hand side)
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1

Factor the trinomial $x^2+3x-4$ finding two numbers that multiply to form $-4$ and added form $3$

$\begin{matrix}\left(-1\right)\left(4\right)=-4\\ \left(-1\right)+\left(4\right)=3\end{matrix}$

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$\begin{matrix}\left(-1\right)\left(4\right)=-4\\ \left(-1\right)+\left(4\right)=3\end{matrix}$

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Learn how to solve factor problems step by step online. Factor the expression 2/(x^2+3x+-4)+-3/(x+4). Factor the trinomial x^2+3x-4 finding two numbers that multiply to form -4 and added form 3. Rewrite the polynomial as the product of two binomials consisting of the sum of the variable and the found values. The least common multiple (LCM) of a sum of algebraic fractions consists of the product of the common factors with the greatest exponent, and the uncommon factors. Obtained the least common multiple (LCM), we place it as the denominator of each fraction, and in the numerator of each fraction we add the factors that we need to complete.

Final answer to the problem

$\frac{5-3x}{\left(x-1\right)\left(x+4\right)}$

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Function Plot

Plotting: $\frac{5-3x}{\left(x-1\right)\left(x+4\right)}$

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7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

How to improve your answer:

Main Topic: Factor

Factor the expression.

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