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Simplify $\frac{x^2+3x}{x+4}+\frac{-\left(16+3x\right)}{x+4}$

Step-by-step Solution

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Final Answer

$x-4$
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Step-by-step Solution

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Simplify the product $-(16+3x)$

$\frac{x^2+3x}{x+4}+\frac{-16-3x}{x+4}$

Learn how to solve combining like terms problems step by step online.

$\frac{x^2+3x}{x+4}+\frac{-16-3x}{x+4}$

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Learn how to solve combining like terms problems step by step online. Simplify (x^2+3x)/(x+4)+(-(16+3x))/(x+4). Simplify the product -(16+3x). 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. Combine and simplify all terms in the same fraction with common denominator x+4. The difference of the squares of two terms, divided by the sum of the same terms, is equal to the difference of the terms. In other words: \displaystyle\frac{a^2-b^2}{a+b}=a-b..

Final Answer

$x-4$

Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

SimplifyWrite in simplest formFactorFactor by completing the squareFind the integralFind the derivativeFind (x^2+3x)/(x+4)+-1(16+3x)/(x+4) using the definitionSolve by quadratic formula (general formula)Find the rootsFind break even pointsFind the discriminant

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Function Plot

Plotting: $x-4$

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1
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3
4
5
6
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: Combining like terms

Algebraic expressions can be simplified by combining like terms.

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