College

We appreciate your visit to Choose the correct simplification of 4x 3 3x 2 4x 3 A 12x 3 25x 2 9 B 12x 3 25x 2 9 C 12x. 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!

Choose the correct simplification of \((4x - 3)(3x^2 - 4x - 3)\).

A. \(12x^3 + 25x^2 + 9\)
B. \(12x^3 - 25x^2 - 9\)
C. \(12x^3 + 25x^2 - 9\)
D. \(12x^3 - 25x^2 + 9\)

Answer :

[tex](4x - 3)(3x^2 - 4x - 3)[/tex]

[tex]=4x\cdot \:3x^2+4x\left(-4x\right)+4x\left(-3\right)-3\cdot \:3x^2-3\left(-4x\right)-3\left(-3\right)[/tex]

[tex]=4x\cdot \:3x^2-4x\cdot \:4x-4x\cdot \:3-3\cdot \:3x^2+3\cdot \:4x+3\cdot \:3[/tex]

[tex]\mathrm{Simplify}\:4x\cdot \:3x^2-4x\cdot \:4x-4x\cdot \:3-3\cdot \:3x^2+3\cdot \:4x+3\cdot \:3:\quad 12x^3-25x^2+9[/tex]

[tex]=12x^3-25x^2+9[/tex]

Thanks for taking the time to read Choose the correct simplification of 4x 3 3x 2 4x 3 A 12x 3 25x 2 9 B 12x 3 25x 2 9 C 12x. 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

To simplify the given expression, multiply each term individually, combine like terms, and the correct answer is [tex]12x^3 - 25x^2 + 9.[/tex]

To simplify [tex](4x - 3)(3x^2 - 4x -3)[/tex]:

  1. Multiply each term of the first expression by each term of the second expression.
  2. Combine like terms.
  3. The correct simplification is [tex]12x^3 - 25x^2 + 9[/tex].