Final answer to the problem
$2\left(x^2\left(x^2-2\right)+\left(\left(x-\frac{1}{2}\right)^2-\frac{1}{4}\right)^2\right)-x$
Got another answer? Verify it here!
Step-by-step Solution
How should I solve this problem?
- Factor by completing the square
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Prove from LHS (left-hand side)
- Load more...
Can't find a method? Tell us so we can add it.
1
Factor the polynomial $x^2-x$. Add and subtract $\left(\frac{b}{2}\right)^2$, replacing $b$ by it's value $-1$
$2x^4-4x^2-x+2\left(x^2-x+\frac{1}{4}-\frac{1}{4}\right)^2$
Learn how to solve polynomial factorization problems step by step online.
$2x^4-4x^2-x+2\left(x^2-x+\frac{1}{4}-\frac{1}{4}\right)^2$
Learn how to solve polynomial factorization problems step by step online. Factor by completing the square 2x^4-4x^2-x2(x^2-x)^2. Factor the polynomial x^2-x. Add and subtract \left(\frac{b}{2}\right)^2, replacing b by it's value -1. Now, we can factor x^2+-1x+\frac{1}{4} as a squared binomial of the form \left(x+\frac{b}{2}\right)^2. Calculate the square root of \frac{1}{4}. Multiply -1 times \frac{1}{2}.
Final answer to the problem
$2\left(x^2\left(x^2-2\right)+\left(\left(x-\frac{1}{2}\right)^2-\frac{1}{4}\right)^2\right)-x$