contestada

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

–3x2 – 18x – 27
–3x2 – 15x – 30
–3x2 + 3x + 6
–3x2 + 3x – 30

Respuesta :

kudzordzifrancis

Answer:

[tex]-3x^2-15x-30[/tex]

Step-by-step explanation:

The given expression is [tex]-3(x+3)^2-3+3x[/tex].

We expand to obtain:

[tex]-3(x^2+6x+9)-3+3x[/tex].

We apply the distributive property to get:

[tex]-3x^2-18x-27-3+3x[/tex].

Group and combine the like terms;

[tex]-3x^2-18x+3x-27-3[/tex].

[tex]-3x^2-15x-30[/tex].

This polynomial expression is in standard form because it is descending powers of x.

ajeigbeibraheem

The simplification of the algebraic expression in standard form is  -3x² - 15x - 30

What is an algebraic expression?

An algebraic expression is the expression of mathematical variables with their coefficients(numbers), integers, and arithmetic operations. The simplification of algebraic expression usually follows a pattern such as;

  • opening the brackets
  • taking like terms
  • and solving the like terms separately.

From the given algebraic expression, we have:

= -3(x + 3)²  - 3 + 3x

Let's expand the above terms in the bracket, we have:

= -3(x² +6x + 9) - 3 + 3x

= -3x² - 1x - 27 - 3 + 3x

By rearrangement, we have:

= -3x² - 18x + 3x - 27 - 3

= -3x² - 15x - 30

Learn more about algebraic expression here:

https://brainly.com/question/4344214

Otras preguntas