Final answer to the problem
$\left(c+1\right)^{2}\left(\left(c-\frac{1}{2}\right)^2+\frac{3}{4}\right)^{2}$
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Step-by-step Solution
How should I solve this problem?
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- 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)
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1
The trinomial $c^6+1-2c^3$ is a perfect square trinomial, because it's discriminant is equal to zero
Learn how to solve completing the square problems step by step online.
$\Delta=b^2-4ac=-2^2-4\left(1\right)\left(1\right) = 0$
Learn how to solve completing the square problems step by step online. Factor the expression c^6+1-2c^3. The trinomial c^6+1-2c^3 is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula. Factoring the perfect square trinomial. Factor the sum or difference of cubes using the formula: a^3\pm b^3 = (a\pm b)(a^2\mp ab+b^2).
Final answer to the problem
$\left(c+1\right)^{2}\left(\left(c-\frac{1}{2}\right)^2+\frac{3}{4}\right)^{2}$
