Question

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

Answer 1

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

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.

Answer 2

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`