Final answer to the problem
$f\left(x\right)=x^{6}-9x^{5}+24x^{4}+\left(-3x\right)^3+3x^2\left(-3x\right)^2+24\left(-3x\right)^2+512+192x^2-576x-144x^{3}$
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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
$f\left(x\right)=\left(x^2\right)^3+3\cdot -3\left(x^2\right)^2x+3\cdot 8\left(x^2\right)^2+\left(-3x\right)^3+3x^2\left(-3x\right)^2+3\cdot 8\left(-3x\right)^2+8^3+3\cdot 8^2x^2+3\cdot -3\cdot 8^2x+6\cdot -3\cdot 8x^2x$
Learn how to solve algebraic expressions problems step by step online.
$f\left(x\right)=\left(x^2\right)^3+3\cdot -3\left(x^2\right)^2x+3\cdot 8\left(x^2\right)^2+\left(-3x\right)^3+3x^2\left(-3x\right)^2+3\cdot 8\left(-3x\right)^2+8^3+3\cdot 8^2x^2+3\cdot -3\cdot 8^2x+6\cdot -3\cdot 8x^2x$
Learn how to solve algebraic expressions problems step by step online. Simplify the expression f(x)=(x^2-3x+8)^3. Expand the cube of a trinomial. Multiply 3 times -3. Multiply 3 times 8. Multiply 3 times 8.
Final answer to the problem
$f\left(x\right)=x^{6}-9x^{5}+24x^{4}+\left(-3x\right)^3+3x^2\left(-3x\right)^2+24\left(-3x\right)^2+512+192x^2-576x-144x^{3}$
