Final answer to the problem
$8x^3-36x^{4}+6x\left(-3x^2\right)^2+\left(-3x^2\right)^3$
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Step-by-step Solution
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- Produit de binômes avec terme commun
- Méthode FOIL
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1
Apply the formula: $\left(a+b\right)^3$$=a^3+3a^2b+3ab^2+b^3$, where $a=2x$, $b=-3x^2$ and $a+b=-3x^2+2x$
$\left(2x\right)^3-9\left(2x\right)^2x^2+6x\left(-3x^2\right)^2+\left(-3x^2\right)^3$
Learn how to solve produits spéciaux problems step by step online.
$\left(2x\right)^3-9\left(2x\right)^2x^2+6x\left(-3x^2\right)^2+\left(-3x^2\right)^3$
Learn how to solve produits spéciaux problems step by step online. (-3x^2+2x)^3. Apply the formula: \left(a+b\right)^3=a^3+3a^2b+3ab^2+b^3, where a=2x, b=-3x^2 and a+b=-3x^2+2x. Apply the formula: \left(ab\right)^n=a^nb^n. Apply the formula: ab=ab, where ab=-9\cdot 4x^2\cdot x^2, a=-9 and b=4. Apply the formula: x^mx^n=x^{\left(m+n\right)}, where m=2 and n=2.
Final answer to the problem
$8x^3-36x^{4}+6x\left(-3x^2\right)^2+\left(-3x^2\right)^3$
