simplify the expression -3(x + 3)^2 - 3 + 3x. what is the simplified expression in standard form?\n-3x^2…

Explanation:

Step1: Expand $(x + 3)^2$

Using the formula $(a + b)^2=a^{2}+2ab + b^{2}$, where $a=x$ and $b = 3$, we have $(x + 3)^2=x^{2}+6x + 9$. Then $-3(x + 3)^2=-3(x^{2}+6x + 9)=-3x^{2}-18x - 27$.

Step2: Combine like - terms

The original expression is $-3(x + 3)^2-3 + 3x$. Substitute the expanded form of $-3(x + 3)^2$ into it: $-3x^{2}-18x - 27-3 + 3x$. Combine the $x$ - terms and the constant terms: $-3x^{2}+(-18x+3x)+(-27 - 3)=-3x^{2}-15x - 30$.

Answer:

$-3x^{2}-15x - 30$