Final answer to the problem
$64x^{6}-144x^{5}-144x^{4}+\left(-3x\right)^3+12x^2\left(-3x\right)^2-9\left(-3x\right)^2-27+108x^2-81x+216x^{3}$
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Step-by-step Solution
How should I solve this problem?
- Factor
- Write in simplest form
- Solve by quadratic formula (general formula)
- Find the derivative using the definition
- Simplify
- Find the integral
- Find the derivative
- Factor by completing the square
- Find the roots
- Exact Differential Equation
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1
Expand the cube of a trinomial
$\left(4x^2\right)^3-9\left(4x^2\right)^2x-9\left(4x^2\right)^2+\left(-3x\right)^3+12x^2\left(-3x\right)^2-9\left(-3x\right)^2-27+108x^2-81x+216x^2x$
Learn how to solve algebraic expressions problems step by step online.
$\left(4x^2\right)^3-9\left(4x^2\right)^2x-9\left(4x^2\right)^2+\left(-3x\right)^3+12x^2\left(-3x\right)^2-9\left(-3x\right)^2-27+108x^2-81x+216x^2x$
Learn how to solve algebraic expressions problems step by step online. Simplify the expression f(x)=(4x^2-3x+-3)^3. Expand the cube of a trinomial. When multiplying exponents with same base you can add the exponents: 216x^2x. The power of a product is equal to the product of it's factors raised to the same power. When multiplying exponents with same base you can add the exponents: -144x^{4}x.
Final answer to the problem
$64x^{6}-144x^{5}-144x^{4}+\left(-3x\right)^3+12x^2\left(-3x\right)^2-9\left(-3x\right)^2-27+108x^2-81x+216x^{3}$