Final answer to the problem
$f\left(x\right)=512x^{6}-576x^{5}+384x^{4}+\left(-3x\right)^3+24x^2\left(-3x\right)^2+6\left(-3x\right)^2+8+96x^2-36x-288x^{3}$
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Step-by-step Solution
How should I solve this problem?
- Choose an option
- 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
- Find the roots
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1
Expand the cube of a trinomial
$f\left(x\right)=\left(8x^2\right)^3-9\left(8x^2\right)^2x+6\left(8x^2\right)^2+\left(-3x\right)^3+24x^2\left(-3x\right)^2+6\left(-3x\right)^2+8+96x^2-36x-288x^2x$
Learn how to solve algebraic expressions problems step by step online.
$f\left(x\right)=\left(8x^2\right)^3-9\left(8x^2\right)^2x+6\left(8x^2\right)^2+\left(-3x\right)^3+24x^2\left(-3x\right)^2+6\left(-3x\right)^2+8+96x^2-36x-288x^2x$
Learn how to solve algebraic expressions problems step by step online. Simplify the expression f(x)=(8x^2-3x+2)^3. Expand the cube of a trinomial. When multiplying exponents with same base you can add the exponents: -288x^2x. The power of a product is equal to the product of it's factors raised to the same power. Multiply -9 times 64.
Final answer to the problem
$f\left(x\right)=512x^{6}-576x^{5}+384x^{4}+\left(-3x\right)^3+24x^2\left(-3x\right)^2+6\left(-3x\right)^2+8+96x^2-36x-288x^{3}$
