The simplified expression in standard form is in option (B). [tex]-3x^2 - 15x - 30.[/tex]
Given expression,
[tex]-3(x + 3)^2 - 3 + 3x[/tex]
We have to find the simplified expression in standard form.
Now solving the expression we get,
[tex]-3(x + 3)^2 - 3 + 3x[/tex]
Applying the identity [tex](a + b)^2 = a^2 + b^2 + 2ab[/tex], we get
[tex]-3(x^{2} +9+6x)-3+3x[/tex]
[tex]-3x^2 - 18x - 27 + 3x- 3[/tex]
[tex]-3x^{2} -15x-30[/tex]
Hence, the correct option is (B).[tex]-3x^{2} -15x-30[/tex] .
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