# Simplify the expression -3(x + 3)^{2} - 3 + 3x. What is the simplified expression in standard form?

**Solution:**

The given expression is:

-3(x + 3)^{2} - 3 + 3x

Using the algebraic identity (a + b)^{2} = a^{2} + b^{2} + 2ab

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

By further simplification

= -3x^{2} - 18x - 27 - 3 + 3x

= -3x^{2} - 18x + 3x - 27 - 3

So we get

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

Therefore, the simplified expression in standard form is -3x^{2} - 15x - 30.

## Simplify the expression -3(x + 3)^{2} - 3 + 3x. What is the simplified expression in standard form?

**Summary:**

By simplifying - 3(x + 3)^{2} - 3 + 3x, the expression in standard form is -3x^{2} - 15x - 30.

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