Understanding the Process of Multiplication and Division of Rational Expressions

Multiplication and division of rational expressions involve applying principles from algebra to combine or simplify fractions with variables. When multiplying, multiply the numerators and denominators separately, then simplify by factoring and canceling common factors. For division, multiply by the reciprocal of the divisor, turning the problem into multiplication. Simplify further by factoring and canceling common factors. Rational expressions involve algebraic fractions, and mastering these operations is crucial for simplifying complex expressions and solving equations involving rational functions. These skills are foundational for advanced algebra and calculus, providing a basis for more intricate mathematical concepts.

[Chatelaine]

U^-4 = (u+2)(u-2)... therefore u can cancel (u-2) from both the bottom and the numerator of the 2nd. Same goes for the 4(u^2) term. They are called Differences of Squares.

[TheEulerID]

Also, any time you see so many obvious difference of two square possibilities, then you know it's an artificial problem created for an examination...

[aydenkasa]

Me when school doesn't teach u properly 😭

[twstvan]

Yep, he really made that understandable....not!

[rleroygordon]

This video was a waste of time. The guy spent all this time explaining how we can't cancel out anything instead of showing that we not only CAN cancel and simplify, but how to actually do it.