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Chapter 0: Problem 2

Factor out the greatest common factor. $$16 x-24$$

Short Answer

Expert verified
After factoring out the greatest common factor, the expression \(16x - 24\) simplifies to \(8(2x - 3)\).

Step by step solution

01

Identify the Greatest Common Factor (GCF)

The first step is to identify the GCF of 16 and 24. The GCF of 16 and 24 is 8.
02

Factor out the GCF

Once the GCF is known, we must then factor it out from every term in the expression. Factoring out the GCF internalizes the distribution property, splitting the original statement into a product of the GCF and a new expression. Therefore, \(16x - 24\) factored out by 8 gives us \(8(2x - 3)\).

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Most popular questions from this chapter

Factor and simplify each algebraic expression. $$-8(4 x+3)^{-2}+10(5 x+1)(4 x+3)^{-1}$$

Can a real number be both rational and irrational? Explain your answer.

Insert either < or > in the shaded area between the numbers to make the statement true. $$-\pi \quad-3.5$$

Will help you prepare for the material covered in the next section. Factor the numerator and the denominator. Then simplify by dividing out the common factor in the numerator and the denominator. $$\frac{x^{2}+6 x+5}{x^{2}-25}$$

Exercises \(142-144\) will help you prepare for the material covered in the next section. Use the distributive property to multiply: $$2 x^{4}\left(8 x^{4}+3 x\right)$$
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