Solve the equation $a=\left(x+1\right)\left(x+3\right)\left(x+2\right)\left(x+4\right)-\left(x^2+5x+5\right)^2$

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Final answer to the problem

$a=\left(x+1\right)\left(x+3\right)\left(x+2\right)\left(x+4\right)-x^{4}-10x^{3}-25x^{2}$
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Step-by-step Solution

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Expand the expression $\left(x^2+5x+5\right)^2$ using the square of a binomial: $(a+b)^2=a^2+2ab+b^2$

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$a=\left(x+1\right)\left(x+3\right)\left(x+2\right)\left(x+4\right)-\left(x^{4}+10x^{3}+25x^{2}\right)$

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Learn how to solve equations problems step by step online. Solve the equation a=(x+1)(x+3)(x+2)(x+4)-(x^2+5x+5)^2. Expand the expression \left(x^2+5x+5\right)^2 using the square of a binomial: (a+b)^2=a^2+2ab+b^2. Simplify the product -(x^{4}+10x^{3}+25x^{2}). Simplify the product -(10x^{3}+25x^{2}).

Final answer to the problem

$a=\left(x+1\right)\left(x+3\right)\left(x+2\right)\left(x+4\right)-x^{4}-10x^{3}-25x^{2}$

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Function Plot

Plotting: $a-\left(x+1\right)\left(x+3\right)\left(x+2\right)\left(x+4\right)+\left(x^2+5x+5\right)^2$

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7
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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

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Main Topic: Equations

In mathematics, an equation is a statement of an equality containing one or more variables. Solving the equation consists of determining which values of the variables make the equality true. In this situation, variables are also known as unknowns and the values which satisfy the equality are known as solutions.

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