Simplify the expression $f\left(x\right)=\left(4x+2\right)\left(4x-2\right)$

Step-by-step Solution

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Final answer to the problem

$f\left(x\right)=16x^2-4$
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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: $(a+b)(a-b)=a^2-b^2$.

$f\left(x\right)=\left(4x\right)^2-4$

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$f\left(x\right)=\left(4x\right)^2-4$

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Learn how to solve algebraic expressions problems step by step online. Simplify the expression f(x)=(4x+2)(4x-2). 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. Calculate the power 4^2.

Final answer to the problem

$f\left(x\right)=16x^2-4$

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Function Plot

Plotting: $f\left(x\right)-\left(4x+2\right)\left(4x-2\right)$

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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: Algebraic expressions

An algebraic expression is a group of terms that are separated by $+$ or $-$ signs.

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