Final answer to the problem
$y=x^{100}\left(1+x^{5}\right)^{20}$
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Step-by-step Solution
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- Differential
- Find the derivative
- Find the integral
- Find the derivative using the definition
- Solve by quadratic formula (general formula)
- Simplify
- Find the integral
- Find the derivative
- Factor
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1
Factor the polynomial $\left(x^5+x^{10}\right)$ by it's greatest common factor (GCF): $x^{5}$
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$y=\left(x^{5}\left(1+x^{5}\right)\right)^{20}$
Learn how to solve equations problems step by step online. Solve the equation y=(x^5+x^10)^20. Factor the polynomial \left(x^5+x^{10}\right) by it's greatest common factor (GCF): x^{5}. The power of a product is equal to the product of it's factors raised to the same power. Simplify \left(x^{5}\right)^{20} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 5 and n equals 20. Multiply 5 times 20.
Final answer to the problem
$y=x^{100}\left(1+x^{5}\right)^{20}$
