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 = a² + b² + 2ab

= - 3 (x² + 6x + 9) - 3 + 3x

By further simplification

= -3x² - 18x - 27 - 3 + 3x

= -3x² - 18x + 3x - 27 - 3

So we get

= -3x² - 15x - 30

Therefore, the simplified expression in standard form is -3x² - 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 -3x² - 15x - 30.