Expand the expression $\left(3x^6+b^{13}\right)\left(3x^5-a^{13}\right)$

Step-by-step Solution

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Final answer to the problem

$9x^{11}-3a^{13}x^6+3x^5b^{13}-a^{13}b^{13}$
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Step-by-step Solution

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1

Multiply the single term $3x^5-a^{13}$ by each term of the polynomial $\left(3x^6+b^{13}\right)$

$3x^6\left(3x^5-a^{13}\right)+b^{13}\left(3x^5-a^{13}\right)$

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$3x^6\left(3x^5-a^{13}\right)+b^{13}\left(3x^5-a^{13}\right)$

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Learn how to solve arithmetic problems step by step online. Expand the expression (3x^6+b^13)(3x^5-a^13). Multiply the single term 3x^5-a^{13} by each term of the polynomial \left(3x^6+b^{13}\right). Multiply the single term 3x^6 by each term of the polynomial \left(3x^5-a^{13}\right). When multiplying exponents with same base we can add the exponents. Multiply the single term b^{13} by each term of the polynomial \left(3x^5-a^{13}\right).

Final answer to the problem

$9x^{11}-3a^{13}x^6+3x^5b^{13}-a^{13}b^{13}$

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Function Plot

Plotting: $9x^{11}-3a^{13}x^6+3x^5b^{13}-a^{13}b^{13}$

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1
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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

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Main Topic: Arithmetic

Arithmetic is a branch of mathematics that consists of the study of numbers, especially the properties of the general operations of addition, subtraction, multiplication and division.

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