Expand the expression $\left(2x^3y^8-6x^2\right)^2$

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Final answer to the problem

$2\left(2x^3y^8-6x^2\right)\left(2\left(3x^{2}y^8+8x^3y^{7}\right)-12x\right)$
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Step-by-step Solution

How should I solve this problem?

  • Solve by implicit differentiation
  • Product of Binomials with Common Term
  • FOIL Method
  • Find the integral
  • Find the derivative
  • Factor
  • Integrate by partial fractions
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
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The power rule for differentiation states that if $n$ is a real number and $f(x) = x^n$, then $f'(x) = nx^{n-1}$

$2\left(2x^3y^8-6x^2\right)^{1}\frac{d}{dx}\left(2x^3y^8-6x^2\right)$

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$2\left(2x^3y^8-6x^2\right)^{1}\frac{d}{dx}\left(2x^3y^8-6x^2\right)$

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Learn how to solve definite integrals problems step by step online. Expand the expression (2x^3y^8-6x^2)^2. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Any expression to the power of 1 is equal to that same expression. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function.

Final answer to the problem

$2\left(2x^3y^8-6x^2\right)\left(2\left(3x^{2}y^8+8x^3y^{7}\right)-12x\right)$

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Plotting: $2\left(2x^3y^8-6x^2\right)\left(2\left(3x^{2}y^8+8x^3y^{7}\right)-12x\right)$

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7
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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: Definite Integrals

Given a function f(x) and the interval [a,b], the definite integral is equal to the area that is bounded by the graph of f(x), the x-axis and the vertical lines x=a and x=b

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