Question

Simplify the expression –3(x + 3)2 – 3 + 3x. What is the simplified expression in standard form?

Answer 1

For this case we must simplify the following expression:

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

We solve the parenthesis:

$-3 (x ^ 2 + 2 (x) (3) + 3 ^ 2) -3 + 3x =\\-3 (x ^ 2 + 6x + 9) -3 + 3x =$

We apply distributive property to the terms within parentheses:

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

We add similar terms:

$-3x ^ 2-18x + 3x-27-3 =\\-3x ^ 2-15x-30$

Answer:

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

Answer 2

Answer: $-3x^2-15x-30$

Step-by-step explanation:

We need to remember that $(a\±b)^2=a^2\±2ab+b^2$

Knowing this, we can simplify  the expression:

$-3(x + 3)^2 - 3 + 3x=-3[x^2+2(x)(3)+3^2]-3+3x=-3[x^2+6x+9]-3+3x$

Apply Distributive property:

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

Add like like terms:

$=-3x^2-15x-30$

Since it has the form $ax^2+bx+c$, it is already expressed in Standad form.