Simplify the equation $y=x\left(2x-3\right)\left(2x+3\right)$

Step-by-step Solution

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Final answer to the problem

$y=4x^{3}-9x$
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Step-by-step Solution

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The sum of two terms multiplied by their difference is equal to the square of the first term minus the square of the second term. In other words: $(a+b)(a-b)=a^2-b^2$.

$y=x\left(\left(2x\right)^2-9\right)$

Learn how to solve two-variable linear equations problems step by step online.

$y=x\left(\left(2x\right)^2-9\right)$

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Learn how to solve two-variable linear equations problems step by step online. Simplify the equation y=x(2x-3)(2x+3). The sum of two terms multiplied by their difference is equal to the square of the first term minus the square of the second term. In other words: (a+b)(a-b)=a^2-b^2.. The power of a product is equal to the product of it's factors raised to the same power. Multiplying polynomials x and 4x^2-9. When multiplying exponents with same base you can add the exponents: 4xx^2.

Final answer to the problem

$y=4x^{3}-9x$

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Function Plot

Plotting: $y-x\left(2x-3\right)\left(2x+3\right)$

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1
2
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: Two-variable linear equations

Algebraic equations that have two distinct variables.

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