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# Simplify the expression $f\left(x\right)=\left(\sqrt{3}x-5\right)\left(\sqrt{3}x+5\right)$

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##  Final answer to the problem

$f\left(x\right)=3x^2-25$
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##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Write in simplest form
• Solve by quadratic formula (general formula)
• Find the derivative using the definition
• Simplify
• Find the integral
• Find the derivative
• Factor
• Factor by completing the square
• Find the roots
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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: $(a+b)(a-b)=a^2-b^2$.

$f\left(x\right)=\left(\sqrt{3}x\right)^2-25$

Learn how to solve algebraic expressions problems step by step online.

$f\left(x\right)=\left(\sqrt{3}x\right)^2-25$

Learn how to solve algebraic expressions problems step by step online. Simplify the expression f(x)=(3^(1/2)x-5)(3^(1/2)x+5). 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. Simplify \left(\sqrt{3}\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{1}{2} and n equals 2. Multiply the fraction and term in \left(\frac{1}{2}\right)\cdot 2.

##  Final answer to the problem

$f\left(x\right)=3x^2-25$

##  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

SnapXam A2

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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

###  Main Topic: Algebraic expressions

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