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Solve the inequality $c\leq \left(ad+bc\right)\left(ac+bd\right)$

Step-by-step Solution

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Final answer to the problem

$c\leq a^2cd+d^2ab+c^2ba+b^2dc$
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Step-by-step Solution

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Multiply the single term $ac+bd$ by each term of the polynomial $\left(ad+bc\right)$

$c\leq ad\left(ac+bd\right)+bc\left(ac+bd\right)$

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$c\leq ad\left(ac+bd\right)+bc\left(ac+bd\right)$

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Learn how to solve inequalities problems step by step online. Solve the inequality c<=(ad+bc)(ac+bd). Multiply the single term ac+bd by each term of the polynomial \left(ad+bc\right). Solve the product ad\left(ac+bd\right). Multiply the single term d by each term of the polynomial \left(a^2c+abd\right). When multiplying two powers that have the same base (d), you can add the exponents.

Final answer to the problem

$c\leq a^2cd+d^2ab+c^2ba+b^2dc$

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Function Plot

Plotting: $c\leq a^2cd+d^2ab+c^2ba+b^2dc$

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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: Inequalities

In mathematics, an inequation is a statement that an inequality holds between two values. It is usually written in the form of a pair of expressions denoting the values in question, with a relational sign between them indicating the specific inequality relation.

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