Question

Simplify the expression â€""3(x 3)2 â€"" 3 3x. What is the simplified expression in standard form? â€""3x2 â€"" 18x â€"" 27 â€""3x2 â€"" 15x â€"" 30 â€""3x2 3x 6 â€""3x2 3x â€"" 30.

Answer 1

The simplified expression in standard form is in option (B). $-3x^2 - 15x - 30.$

Given expression,

$-3(x + 3)^2 - 3 + 3x$

We have to find the simplified expression in standard form.

Now solving the expression we get,

$-3(x + 3)^2 - 3 + 3x$

Applying the identity  $(a + b)^2 = a^2 + b^2 + 2ab$, we get

$-3(x^{2} +9+6x)-3+3x$

$-3x^2 - 18x - 27 + 3x- 3$

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

Hence, the correct option is (B).$-3x^{2} -15x-30$ .

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