High School

We appreciate your visit to Simplify the expression tex 3 x 2 x 2 x 8 tex A tex 3x 3 3x 2 30x 48 tex B tex 3x 3. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Simplify the expression [tex]3(x^2)(x^2 - x - 8)[/tex].

A. [tex]3x^3 + 3x^2 - 30x - 48[/tex]

B. [tex]3x^3 + x^2 - 10x - 16[/tex]

C. [tex]3x^3 - 30x^2 - 12x - 48[/tex]

D. [tex]3x^3 - 4x^2 - 30x - 48[/tex]

Answer :

The simplified expression is 3x⁴ - 3x³ - 24x², which matches option (d).

Let's simplify the expression step by step:

Expression: 3(x²)(x² - x - 8)

To simplify, we'll use the distributive property to multiply 3 with each term inside the parentheses:

3 * x² = 3x²

3 * (-x) = -3x

3 * (-8) = -24

So, the expression becomes:

3x²(x² - x - 8)

Now, let's apply the distributive property again to multiply 3x² with each term inside the parentheses:

3x² * x² = 3x⁴

3x² * (-x) = -3x³

3x² * (-8) = -24x²

Now, the expression is simplified to:

3x⁴ - 3x³ - 24x²

So, the correct simplified expression is option (d): 3x⁴ - 3x³ - 24x².

Now, let me provide the correct solution for reference:

Correct Solution:

3(x²)(x² - x - 8)

= 3x²(x²) - 3x²(x) - 3x²(8) [Apply the distributive property]

= 3x⁴ - 3x³ - 24x²

So, the simplified expression is 3x⁴ - 3x³ - 24x², which matches option (d).

For similar question on simplified expression.

https://brainly.com/question/28981603

#SPJ4

Thanks for taking the time to read Simplify the expression tex 3 x 2 x 2 x 8 tex A tex 3x 3 3x 2 30x 48 tex B tex 3x 3. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada