Reduce like terms $\left(2a-b\right)^2+\left(2a-b\right)^2+\left(a+2b\right)^2-\left(a-2b\right)^2$

Step-by-step Solution

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Final answer to the problem

$7a^2-4ab+2b^2+\left(a+2b\right)^2-\left(-2b\right)^2$
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Step-by-step Solution

How should I solve this problem?

  • Choose an option
  • Write in simplest form
  • Solve by quadratic formula (general formula)
  • Find the derivative using the definition
  • Simplify
  • Find the integral
  • Find the derivative
  • Factor
  • Factor by completing the square
  • Find the roots
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1

Combining like terms $\left(2a-b\right)^2$ and $\left(2a-b\right)^2$

$2\left(2a-b\right)^2+\left(a+2b\right)^2-\left(a-2b\right)^2$

Learn how to solve definition of derivative problems step by step online.

$2\left(2a-b\right)^2+\left(a+2b\right)^2-\left(a-2b\right)^2$

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Learn how to solve definition of derivative problems step by step online. Reduce like terms (2a-b)^2+(2a-b)^2(a+2b)^2-(a-2b)^2. Combining like terms \left(2a-b\right)^2 and \left(2a-b\right)^2. Expand \left(2a-b\right)^2. The power of a product is equal to the product of it's factors raised to the same power. Multiply the single term 2 by each term of the polynomial \left(4a^2-4ab+b^2\right).

Final answer to the problem

$7a^2-4ab+2b^2+\left(a+2b\right)^2-\left(-2b\right)^2$

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Function Plot

Plotting: $7a^2-4ab+2b^2+\left(a+2b\right)^2-\left(-2b\right)^2$

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5
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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: Definition of Derivative

Resolution of derivatives using the definition of the derivative, which is the limit of difference quotients of real numbers.

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