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Factor by completing the square $\frac{7x+3}{x^2+3-4}$

Step-by-step Solution

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Final answer to the problem

$\frac{7x+3}{\left(1+x\right)\left(-1+x\right)}$
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Step-by-step Solution

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Subtract the values $3$ and $-4$

$\frac{7x+3}{-1+x^2}$

Learn how to solve polynomial factorization problems step by step online.

$\frac{7x+3}{-1+x^2}$

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Learn how to solve polynomial factorization problems step by step online. Factor by completing the square (7x+3)/(x^2+3+-4). Subtract the values 3 and -4. Simplify \sqrt{x^2} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals \frac{1}{2}. Calculate the power \sqrt{1}. Simplify \sqrt{x^2} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals \frac{1}{2}.

Final answer to the problem

$\frac{7x+3}{\left(1+x\right)\left(-1+x\right)}$

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

SimplifyFactorFind the integralFind the derivativeFind (7x+3)/(x^2+3) using the definitionSolve by quadratic formula (general formula)Find the rootsFind break even pointsFind the discriminant

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Function Plot

Plotting: $\frac{7x+3}{\left(1+x\right)\left(-1+x\right)}$

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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: Polynomial Factorization

They are a group of techniques that help us rewrite polynomial expressions as a product of factors.

Used Formulas

1. See formulas

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