Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Multiply. Write your answer in simplest form.\newline5v−33v×(5v+1)\frac{5v - 3}{3v} \times (5v + 1)

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Multiply and divide rational expressionsright chevron icon

Full solution

Q. Multiply. Write your answer in simplest form.\newline5v−33v×(5v+1)\frac{5v - 3}{3v} \times (5v + 1)
  1. Identify Terms, Set Up: Identify the terms to be multiplied and set up the multiplication.\newlineWe have the fraction (5v−3)/(3v)(5v - 3)/(3v) and the term (5v+1)(5v + 1). To multiply these, we simply multiply the numerators together and the denominators together.\newlineCalculation: (5v−3)/(3v)×(5v+1)/(1)(5v - 3)/(3v) \times (5v + 1)/(1)
  2. Multiply Numerators: Multiply the numerators together.\newlineWe multiply (5v−3)(5v - 3) by (5v+1)(5v + 1) to get the new numerator.\newlineCalculation: (5v−3)×(5v+1)=25v2+5v−15v−3=25v2−10v−3(5v - 3) \times (5v + 1) = 25v^2 + 5v - 15v - 3 = 25v^2 - 10v - 3
  3. Multiply Denominators: Multiply the denominators together.\newlineSince the denominator of the second term is 11, multiplying by 11 does not change the value of the first denominator.\newlineCalculation: 3v×1=3v3v \times 1 = 3v
  4. Combine to Form Fraction: Combine the new numerator and denominator to form the new fraction. We place the new numerator over the new denominator. Calculation: (25v2−10v−3)/(3v)(25v^2 - 10v - 3)/(3v)
  5. Simplify Fraction: Simplify the fraction if possible.\newlineIn this case, there are no common factors between the numerator and the denominator, so the fraction is already in its simplest form.\newlineCalculation: The fraction remains (25v2−10v−3)/(3v)(25v^2 - 10v - 3)/(3v)

More problems from Multiply and divide rational expressions

Question
Evaluate the expression for t=−4.4 t = -4.4 .\newlineWrite your answer in simplest form.\newline` frac{t - 4}{t - 2} =` ____
Get tutor helpright-arrow

Posted 7 months ago

Question
Simplify. Write your answer using whole numbers and variables.\newlineg3g2−4g\frac{g}{3g^2 - 4g}
Get tutor helpright-arrow

Posted 5 months ago

Question
Simplify. Express your answer as a single fraction in simplest form. 32−5p33\frac{3}{2} - \frac{5p^3}{3} ______
Get tutor helpright-arrow

Posted 5 months ago

Question
Simplify. Express your answer as a single fraction in simplest form. \newline1+v5w31 + \frac{v^5w}{3}\newline______
Get tutor helpright-arrow

Posted 5 months ago

Question
Solve for h h .\newline−5h−2=−4h−3 \frac{-5}{h - 2} = \frac{-4}{h - 3} \newlineThere may be 11 or 22 solutions.\newlineh= h = _____ or h= h = _____
Get tutor helpright-arrow

Posted 7 months ago

Question
What is the equation of the vertical asymptote of y=1x+9y = \frac{1}{x + 9} ? _____
Get tutor helpright-arrow

Posted 9 months ago

Question
What is the excluded value for y=1x−9−9y = \frac{1}{x - 9} - 9 ?\newline______
Get tutor helpright-arrow

Posted 9 months ago

Question
Simplify. Write your answer using whole numbers and variables.\newline9k+49k2+4k\frac{9k + 4}{9k^2 + 4k}\newline______
Get tutor helpright-arrow

Posted 9 months ago

Question
Divide. Write your answer in simplest form.\newlineg−110g3+25g2÷(g−1)\frac{g- 1}{10g^3 + 25g^2} \div (g- 1)\newline______
Get tutor helpright-arrow

Posted 9 months ago

Question
Simplify. Express your answer as a single fraction in simplest form. \newline5−3t31\frac{5 - \frac{3}{t^3}}{1}\newline______
Get tutor helpright-arrow

Posted 9 months ago

View all (100)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant