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2022-02-03

What is the standard form of $y=\left(2x+3{x}^{2}\right)\left(x+3\right)-{\left(x-2\right)}^{3}$?

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Explanation:
To answer this question, you will have to simplify the function. Begin by using the FOIL Method to multiply the first term:
$\left(2x+3{x}^{2}\right)\left(x+3\right)=2x\cdot x+2x\cdot 3+3{x}^{2}\cdot x+3{x}^{2}\cdot 3$
Simplifying this yields:
$3{x}^{3}+11{x}^{2}+6x$
We now have the first term simplified. To simplify the second term, we can use the
Binomial Theorem, a useful tool when working with polynomials. One of the main points of the theorem is that the coefficients of an expanded binomial can be determined using a function called the choose function. The specifics of the choose function are more of a probability concept, so theres

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