Solve the equation $x^3-8y^6=\left(x+2y^2\right)\left(x^2-2xy^2+4y^4\right)$

Step-by-step Solution

Go!
Symbolic mode
Text mode
Go!
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

Final answer to the problem

true

Step-by-step Solution

How should I solve this problem?

  • Choose an option
  • Solve for x
  • Solve for y
  • Find the derivative
  • Solve by implicit differentiation
  • Solve for y'
  • Find dy/dx
  • Derivative
  • Find the derivative using the definition
  • Solve by quadratic formula (general formula)
  • Load more...
Can't find a method? Tell us so we can add it.
1

Divide both sides of the equation by $x+2y^2$

$\frac{x^3-8y^6}{x+2y^2}=x^2-2xy^2+4y^4$

Learn how to solve problems step by step online.

$\frac{x^3-8y^6}{x+2y^2}=x^2-2xy^2+4y^4$

With a free account, access a part of this solution

Unlock the first 3 steps of this solution

Learn how to solve problems step by step online. Solve the equation x^3-8y^6=(x+2y^2)(x^2-2xy^24y^4). Divide both sides of the equation by x+2y^2. Move everything to the left hand side of the equation. Factor the sum or difference of cubes using the formula: a^3\pm b^3 = (a\pm b)(a^2\mp ab+b^2). Simplify the fraction \frac{\left(x+2y^{2}\right)\left(x^{2}-2xy^{2}+4y^{4}\right)}{x+2y^2} by x+2y^{2}.

Final answer to the problem

true

Explore different ways to solve this problem

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

Help us improve with your feedback!

Function Plot

Plotting: $true$

Your Personal Math Tutor. Powered by AI

Available 24/7, 365.

Complete step-by-step math solutions. No ads.

Includes multiple solving methods.

Download complete solutions and keep them forever.

Premium access on our iOS and Android apps.

Join 500k+ students in problem solving.

Choose your plan. Cancel Anytime.
Pay $39.97 USD securely with your payment method.
Please hold while your payment is being processed.

Create an Account