Step-by-step Solution

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

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Final Answer

$4a^2-25$
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Step-by-step Solution

Problem to solve:

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

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

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

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

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Learn how to solve special products problems step by step online. Solve the product (2a+5)(2a-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 2a.</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.

Final Answer

$4a^2-25$
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1
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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

Tips on how to improve your answer:

$\left(2a+5\right)\left(2a-5\right)$

Main topic:

Special products

Time to solve it:

~ 0.04 s