Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Choase the coroct ansurer

{:[-84","-52","-12," is "],[" a) "{:[18," b) "-18," c) "]:}]:}

Choase the coroct ansurer $\newline$ $\begin{array}{lll} -84,-52,-12 & \text { is } \\ \text { a) } \begin{array}{lll} 18 & \text { b) }-18 & \text { c) } \end{array} \end{array}$

View step-by-step help

View step-by-step help

Simplify rational expressions

Full solution

Q. Choase the coroct ansurer

\newline

\begin{array}{lll} -84,-52,-12 & \text { is } \\ \text { a) } \begin{array}{lll} 18 & \text { b) }-18 & \text { c) } \end{array} \end{array}

Find GCF: First, let's find the greatest common factor (GCF) of the numbers $-84 ext{,} -52 ext{,}$ and $-12$ .
List Factors: List the factors of each number: $\newline$ $-84$ : $1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84$ $\newline$ $-52$ : $1, 2, 4, 13, 26, 52$ $\newline$ $-12$ : $1, 2, 3, 4, 6, 12$
Identify Common Factors: The common factors are $1$ , $2$ , and $4$ . The greatest of these is $4$ .
Determine GCF: However, since all numbers are negative, the GCF should also be negative. So, the GCF is $-4$ .
Divide by GCF: Now, let's divide each number by $-4$ to see if we get whole numbers: $\newline$ $-84 / -4 = 21$ $\newline$ $-52 / -4 = 13$ $\newline$ $-12 / -4 = 3$
Verify GCF: The numbers $21$ , $13$ , and $3$ have no common factors other than $1$ , so $-4$ is indeed the GCF.
Correct Answer: Looking at the options, the correct answer is b) $-18$ , which is not the GCF we found.

More problems from Simplify rational expressions

Question

Evaluate the expression for

t = -4.4

\newline

Write your answer in simplest form.

\newline

` frac{t - 4}{t - 2} =` ____

Posted 1 month ago

Question

Simplify. Write your answer using whole numbers and variables.

\newline

\frac{g}{3g^2 - 4g}

Posted 2 months ago

Question

Simplify. Express your answer as a single fraction in simplest form.

\frac{3}{2} - \frac{5p^3}{3}

Posted 2 months ago

Question

Simplify. Express your answer as a single fraction in simplest form.

\newline

\frac{1 + \frac{v^5w}{3}}{1}

\newline

Posted 2 months ago

Question

h

\newline

\frac{-5}{h - 2} = \frac{-4}{h - 3}

\newline

1

2

\newline

h =

h =

Posted 1 month ago

Question

What is the equation of the vertical asymptote of

y = \frac{1}{x + 9}

Posted 2 months ago

Question

What is the excluded value for

y = \frac{1}{x - 9} - 9

\newline

Posted 2 months ago

Question

Simplify. Write your answer using whole numbers and variables.

\newline

\frac{9k + 4}{9k^2 + 4k}

\newline

Posted 2 months ago

Question

Divide. Write your answer in simplest form.

\newline

\frac{g- 1}{10g^3 + 25g^2} \div (g- 1)

\newline

Posted 2 months ago

Question

Simplify. Express your answer as a single fraction in simplest form.

\newline

\frac{5 - \frac{3}{t^3}}{1}

\newline

Posted 2 months ago