Final answer to the problem
$\frac{8a^3+27}{\left(2a+3\right)^{2}}$
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Step-by-step Solution
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- Write in simplest form
- Solve by quadratic formula (general formula)
- Find the derivative using the definition
- Simplify
- Find the integral
- Find the derivative
- Factor
- Factor by completing the square
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1
The trinomial $4a^2+12a+9$ is a perfect square trinomial, because it's discriminant is equal to zero
$\Delta=b^2-4ac=12^2-4\left(4\right)\left(9\right) = 0$
Learn how to solve polynomial long division problems step by step online.
$\Delta=b^2-4ac=12^2-4\left(4\right)\left(9\right) = 0$
Learn how to solve polynomial long division problems step by step online. Simplify the expression (8a^3+27)/(4a^2+12a+9). The trinomial 4a^2+12a+9 is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula. Factoring the perfect square trinomial.
Final answer to the problem
$\frac{8a^3+27}{\left(2a+3\right)^{2}}$
