Dividing two rational expressions by multiplying by the reciprocal

The video tutorial covers solving mathematical problems by multiplying and dividing using reciprocals. It explains various factoring techniques such as the diamond method and the difference of squares. The instructor demonstrates how to apply these methods to solve equations, leading to a final solution. The tutorial emphasizes understanding the process and recognizing which problems can be factored.

What is the first step when dividing by a fraction?

• Add the fraction to the dividend

• Multiply by the reciprocal of the fraction

• Multiply by the fraction itself

• Subtract the fraction from the dividend

Which two numbers multiply to -6 and add to 1?

• 3 and -2

• 2 and 3

• -3 and 2

• -2 and -3

What is the formula for the difference of squares?

• a^2 - b^2 = (a - b)(a - b)

• a^2 - b^2 = (a + b)(a - b)

• a^2 + b^2 = (a + b)(a - b)

• a^2 + b^2 = (a - b)(a + b)

Which method can be used to factor a quadratic expression?

• Reciprocal method

• Subtraction method

• Box method

• Addition method

What is the final simplified form of the expression given in the video?

• y + 3 / 2y - 1 and y - 2

• y + 2 / 2y - 1 and y - 3

• y + 2 / y - 1 and 2y - 3

• y + 3 / y - 2 and 2y - 1