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Exercise

$y=\left(6x+3\right)^4\left(x^2-5\right)^7$

Step-by-step Solution

1

Factor the polynomial $\left(6x+3\right)$ by it's greatest common factor (GCF): $3$

$y=\left(3\left(2x+1\right)\right)^4\left(x^2-5\right)^7$
2

The power of a product is equal to the product of it's factors raised to the same power

$y=\left(x^2-5\right)^73^4\left(2x+1\right)^4$
3

Calculate the power $3^4$

$y=\left(x^2-5\right)^781\left(2x+1\right)^4$

Final answer to the exercise

$y=\left(x^2-5\right)^781\left(2x+1\right)^4$

Try other ways to solve this exercise

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  • Find the derivative
  • Find the integral
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  • Solve by quadratic formula (general formula)
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  • Find the integral
  • Find the derivative
  • Factor
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