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Expand the expression $\left(2x+3y-1\right)^2$

Step-by-step Solution

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Final answer to the problem

$4x^2+9y^2+1+12xy-4x-6y$
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Step-by-step Solution

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Expand the trinomial using the formula $\left(a+b+c\right)^2 = a^2 + b^2 + c^2 + 2ab + 2ac + 2bc$

$\left(2x\right)^2+\left(3y\right)^2+{\left(-1\right)}^2+2\cdot 2\cdot 3xy+2\cdot 2\left(-1\right)x+2\cdot 3\left(-1\right)y$

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

$\left(2x\right)^2+\left(3y\right)^2+{\left(-1\right)}^2+2\cdot 2\cdot 3xy+2\cdot 2\left(-1\right)x+2\cdot 3\left(-1\right)y$

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Learn how to solve special products problems step by step online. Expand the expression (2x+3y+-1)^2. Expand the trinomial using the formula \left(a+b+c\right)^2 = a^2 + b^2 + c^2 + 2ab + 2ac + 2bc. Multiply 2 times 2. Multiply 4 times 3. Multiply 2 times 2.

Final answer to the problem

$4x^2+9y^2+1+12xy-4x-6y$

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

Product of Binomials with Common TermFOIL MethodFactorFind the derivativeFind the integral

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Function Plot

Plotting: $4x^2+9y^2+1+12xy-4x-6y$

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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: Special Products

Special products is the multiplication of algebraic expressions that follow certain rules and patterns, so you can predict the result without necessarily doing the multiplication.

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