# Step-by-step Solution

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

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$25x^2-4y^2$

## Step-by-step Solution

Problem to solve:

$\left(5x+2y\right)\left(5x-2y\right)$
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 $5x$.
• The second term ($b$) is $2y$.
Then:

$\left(5x\right)^2-\left(2y\right)^2$

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

$\left(5x\right)^2-\left(2y\right)^2$

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

$25x^2-4y^2$
SnapXam A2

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1
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5
6
7
8
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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

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