Divide. Write your answer in simplest form. 6/x^2 ÷ (4x - 3) ______

Rewrite as multiplication: Step 1: Rewrite the division as a multiplication by taking the reciprocal of the divisor. So, 6/x^2 ÷ (4x - 3) becomes 6/x^2 × 1/(4x - 3). Multiply numerators and denominators: Step 2: Multiply the numerators and then multiply the denominators. So, 6/x^2 × 1/(4x - 3) becomes (6 * 1) / (x^2 * (4x - 3)). Simplify the expression: Step 3: Simplify the expression by combining the numerators and denominators. The numerator is 6 and the denominator is x^2(4x - 3), which is 4x^3 - 3x^2. Final answer: Step 4: Write the answer in the simplest form. So, the final answer is 6 / (4x^3 - 3x^2).

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Divide. Write your answer in simplest form. $\newline$ $\frac{6}{x^2} \div (4x - 3)$

View step-by-step help

Home

Math Problems

Algebra 1

Multiply and divide rational expressions

Full solution

Q. Divide. Write your answer in simplest form.

\newline

\frac{6}{x^2} \div (4x - 3)

Rewrite as multiplication: Step $1$ : Rewrite the division as a multiplication by taking the reciprocal of the divisor. So, $\frac{6}{x^2} \div (4x - 3)$ becomes $\frac{6}{x^2} \times \frac{1}{(4x - 3)}$ .
Multiply numerators and denominators: Step $2$ : Multiply the numerators and then multiply the denominators. So, $\frac{6}{x^2} \times \frac{1}{4x - 3}$ becomes $\frac{(6 \times 1)}{(x^2 \times (4x - 3))}$ .
Simplify the expression: Step $3$ : Simplify the expression by combining the numerators and denominators. The numerator is $6$ and the denominator is $x^2(4x - 3)$ , which is $4x^3 - 3x^2$ .
Final answer: Step $4$ : Write the answer in the simplest form. So, the final answer is $\frac{6}{4x^3 - 3x^2}$ .