Solve the product $\left(6a^3b^2+4b^5c^4\right)\left(6a^3b^2-4b^5c^4\right)$

Step-by-step Solution

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Final answer to the problem

$36a^{6}b^{4}-16b^{10}c^{8}$
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Step-by-step Solution

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  • Product of Binomials with Common Term
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The sum of two terms multiplied by their difference is equal to the square of the first term minus the square of the second term. In other words: $(a+b)(a-b)=a^2-b^2$.

Learn how to solve simplify trigonometric expressions problems step by step online.

$\left(6a^3b^2\right)^2-\left(4b^5c^4\right)^2$

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Learn how to solve simplify trigonometric expressions problems step by step online. Solve the product (6a^3b^2+4b^5c^4)(6a^3b^2-4b^5c^4). The sum of two terms multiplied by their difference is equal to the square of the first term minus the square of the second term. In other words: (a+b)(a-b)=a^2-b^2.. The power of a product is equal to the product of it's factors raised to the same power. The power of a product is equal to the product of it's factors raised to the same power. The power of a product is equal to the product of it's factors raised to the same power.

Final answer to the problem

$36a^{6}b^{4}-16b^{10}c^{8}$

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Function Plot

Plotting: $36a^{6}b^{4}-16b^{10}c^{8}$

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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: Simplify Trigonometric Expressions

Simplification of trigonometric expressions consists of rewriting an expression with trigonometric functions in a simpler form. To perform this task, we usually use the most common trigonometric identities, and some algebra.

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