Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify. Express your answer as a single fraction in simplest form. $\newline$ $\frac{a}{2} - \frac{a^3b}{2}$

View step-by-step help

View step-by-step help

Add and subtract rational expressions

Full solution

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

\newline

\frac{a}{2} - \frac{a^3b}{2}

Identify common denominator: Identify the common denominator. $\newline$ The common denominator for the fractions $\frac{a}{2}$ and $\frac{a^3b}{2}$ is $2$ .
Combine fractions: Combine the fractions. $\newline$ Since both fractions have the same denominator, we can combine the numerators. $\newline$ $(a - a^3b)/2$
Factor out common factor: Factor out the common factor in the numerator. $\newline$ We can factor out $a$ from the numerator. $\newline$ $\frac{a(1 - a^2b)}{2}$
Check for further simplification: Check if the fraction can be simplified further. $\newline$ The fraction $\frac{a(1 - a^2b)}{2}$ is already in its simplest form because there are no common factors between the numerator and the denominator that can be canceled out.

More problems from Add and subtract rational expressions

Question

Divide. Write the quotient in lowest terms.

\newline

1 \frac{7}{9} \div \frac{4}{5}=

Posted 10 months ago

Question

Divide. Write the quotient in lowest terms.

\newline

\frac{1}{4} \div 1 \frac{1}{8}=

Posted 10 months ago

Question

Divide. Write the quotient in lowest terms.

\newline

1 \frac{1}{4} \div 1 \frac{2}{5}=

Posted 10 months ago

Question

Divide. Write the quotient in lowest terms.

\newline

\frac{5}{8} \div 1 \frac{1}{3}=

Posted 10 months ago

Question

Divide. Write the quotient in lowest terms.

\newline

4 \frac{4}{5} \div 1 \frac{1}{2}=

Posted 10 months ago

Question

Divide. Write the quotient in lowest terms.

\newline

2 \frac{1}{2} \div 2 \frac{2}{3}=

Posted 10 months ago

Question

Divide. Write the quotient in lowest terms.

\newline

3 \frac{3}{8} \div 9=

Posted 10 months ago

Question

Divide. Write the quotient in lowest terms.

\newline

3 \frac{3}{10} \div 1 \frac{4}{7}=

Posted 10 months ago

Question

Divide. Write the quotient in lowest terms.

\newline

4 \frac{2}{3} \div 7=

Posted 10 months ago

Question

\frac{d}{d x}\left[\sqrt{8 x^{2}+2 x-3}\right]=?

\newline

1

\newline

\frac{8 x+1}{\sqrt{8 x^{2}+2 x-3}}

\newline

\frac{8 x+1}{\sqrt{x}}

\newline

\sqrt{16 x+2}

\newline

\frac{1}{2 \sqrt{16 x+2}}

Posted 9 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant