Final answer to the problem
$\left(a+b\right)^{2}\left(a-b\right)^{2}$
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Step-by-step Solution
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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 $a^4-2a^2b^2+b^{4}$ is a perfect square trinomial, because it's discriminant is equal to zero
Learn how to solve factor by difference of squares problems step by step online.
$\Delta=b^2-4ac=-2^2-4\left(1\right)\left(1\right) = 0$
Learn how to solve factor by difference of squares problems step by step online. Factor the expression a^4-2a^2b^2b^4. The trinomial a^4-2a^2b^2+b^{4} is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula. Factoring the perfect square trinomial. Simplify \sqrt{a^{2}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals \frac{1}{2}.
Final answer to the problem
$\left(a+b\right)^{2}\left(a-b\right)^{2}$
