Final answer to the problem
$\left(y-\frac{45}{2}\right)^2-\frac{1625}{4}$
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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
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- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Prove from LHS (left-hand side)
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1
We can factor the fourth degree trinomial $w^4+100-45w^2$ by applying the substitution: $y=w^2$
$y^2-45y+100$
Learn how to solve completing the square problems step by step online.
$y^2-45y+100$
Learn how to solve completing the square problems step by step online. Factor the expression w^4+100-45w^2. We can factor the fourth degree trinomial w^4+100-45w^2 by applying the substitution: y=w^2. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial y^2+-45+\frac{2025}{4}. Simplify the addition \left(y- \frac{45}{2}\right)^2+100-\frac{2025}{4}.
Final answer to the problem
$\left(y-\frac{45}{2}\right)^2-\frac{1625}{4}$
