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Solve the product $\left(\frac{3x}{2}+\frac{5y}{4}\right)\left(\frac{3x}{2}+\frac{-2y}{4}\right)$

Step-by-step Solution

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Final Answer

$\frac{9x^2}{4}+1.125yx-0.625y^2$
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Step-by-step Solution

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Take $\frac{-2}{4}$ out of the fraction

$\left(\frac{3x}{2}+\frac{5y}{4}\right)\left(\frac{3x}{2}-\frac{1}{2}y\right)$

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$\left(\frac{3x}{2}+\frac{5y}{4}\right)\left(\frac{3x}{2}-\frac{1}{2}y\right)$

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Learn how to solve problems step by step online. Solve the product ((3x)/2+(5y)/4)((3x)/2+(-2y)/4). Take \frac{-2}{4} out of the fraction. Multiplying polynomials \frac{3x}{2}-0.5y and \frac{3x}{2}+\frac{5y}{4}. Multiplying polynomials \frac{3x}{2} and \frac{3x}{2}-0.5y. Multiplying polynomials \frac{5y}{4} and \frac{3x}{2}-0.5y.

Final Answer

$\frac{9x^2}{4}+1.125yx-0.625y^2$

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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

Product of Binomials with Common TermFOIL MethodFactorFind the derivativeFind the integral

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Function Plot

Plotting: $\frac{9x^2}{4}+\frac{9}{8}yx-\frac{5}{8}y^2$

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Answer Assistant

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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

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