# Step-by-step Solution

## Solve the product $\left(2x+5\right)\left(2x-5\right)$

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$4x^2-25$

## Step-by-step Solution

Problem to solve:

$\left(2x+5\right)\cdot\left(2x-5\right)$
1

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: $(a+b)(a-b)=a^2-b^2$, where:

• The first term ($a$) is $2x$.
• The second term ($b$) is $5$.
Then:

$\left(2x\right)^2-1\cdot 5^2$

Learn how to solve special products problems step by step online.

$\left(2x\right)^2-1\cdot 5^2$

Learn how to solve special products problems step by step online. Solve the product (2x+5)(2x-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, where:<ul><li>The first term (a) is 2x.</li><li>The second term (b) is 5.</li></ul>Then:. Calculate the power 5^2. Multiply -1 times 25. The power of a product is equal to the product of it's factors raised to the same power.

$4x^2-25$
SnapXam A2

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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

$\left(2x+5\right)\cdot\left(2x-5\right)$

Special products

~ 0.04 s