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Solve the product $\left(2+\sqrt{y}\right)\left(2-\sqrt{y}\right)$

Step-by-step Solution

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Final Answer

$4-y$
Got another answer? Verify it here!

Step-by-step Solution

Problem to solve:

$\left(2+\sqrt{y}\right)\left(2-\sqrt{y}\right)$

Specify the solving method

1

Multiply the single term $2-\sqrt{y}$ by each term of the polynomial $\left(2+\sqrt{y}\right)$

$2\left(2-\sqrt{y}\right)+\sqrt{y}\left(2-\sqrt{y}\right)$
2

Multiply the single term $2$ by each term of the polynomial $\left(2-\sqrt{y}\right)$

$4-2\sqrt{y}+\sqrt{y}\left(2-\sqrt{y}\right)$

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

$2\left(2-\sqrt{y}\right)+\sqrt{y}\left(2-\sqrt{y}\right)$

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Learn how to solve special products problems step by step online. Solve the product (2+y^1/2)(2-y^1/2). Multiply the single term 2-\sqrt{y} by each term of the polynomial \left(2+\sqrt{y}\right). Multiply the single term 2 by each term of the polynomial \left(2-\sqrt{y}\right). Multiply the single term \sqrt{y} by each term of the polynomial \left(2-\sqrt{y}\right). When multiplying exponents with same base we can add the exponents.

Final Answer

$4-y$

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

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Answer Assistant

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Got a different answer? Verify it!

Go!
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:

$\left(2+\sqrt{y}\right)\left(2-\sqrt{y}\right)$

Main topic:

Special Products

Time to solve it:

~ 0.03 s