Final answer to the problem
$y=x^{60}\left(x^2+6\right)^{20}$
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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 $\left(x^5+6x^3\right)$ by it's greatest common factor (GCF): $x^{3}$
$y=\left(x^{3}\left(x^2+6\right)\right)^{20}$
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$y=\left(x^{3}\left(x^2+6\right)\right)^{20}$
Learn how to solve problems step by step online. Solve the equation y=(x^5+6x^3)^20. Factor the polynomial \left(x^5+6x^3\right) by it's greatest common factor (GCF): x^{3}. The power of a product is equal to the product of it's factors raised to the same power. Simplify \left(x^{3}\right)^{20} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 3 and n equals 20. Multiply 3 times 20.
Final answer to the problem
$y=x^{60}\left(x^2+6\right)^{20}$
