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Factor the expression $m^2+4mn+4n^2$

Step-by-step Solution

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Final answer to the problem

$\left(m+2n\right)^{2}$
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Step-by-step Solution

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  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
  • Integrate by trigonometric substitution
  • Weierstrass Substitution
  • Prove from LHS (left-hand side)
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1

The trinomial $m^2+4mn+4n^2$ is a perfect square trinomial, because it's discriminant is equal to zero

$\Delta=b^2-4ac=4^2-4\left(1\right)\left(4\right) = 0$

Learn how to solve polynomial factorization problems step by step online.

$\Delta=b^2-4ac=4^2-4\left(1\right)\left(4\right) = 0$

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Learn how to solve polynomial factorization problems step by step online. Factor the expression m^2+4mn4n^2. The trinomial m^2+4mn+4n^2 is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula. Factoring the perfect square trinomial.

Final answer to the problem

$\left(m+2n\right)^{2}$

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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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Function Plot

Plotting: $\left(m+2n\right)^{2}$

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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:

Main Topic: Polynomial Factorization

They are a group of techniques that help us rewrite polynomial expressions as a product of factors.

Used Formulas

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