Fractional Algebra With Factorisation
In this video course, students will learn how to combine multiple fractional algebraic expressions into a single term. First, students will factorise the denominators, then use a common denominator to align all terms, and finally combine them into one simplified expression. We will be applying the standardised 4 steps process.
Step 1: Factorise Denominator Completely
Step 2: Flip Denominator (if required) to make both denominators the same
Step 3: Combine into Single Fractional Algebra using the Common Denominator Method
Step 4: Simplify the numerator to arrive at the answer
This course is an extension of the linear fractional algebra course taught earlier. To master the technique, we will be going thru 8 examples.
Related Lessons:
Fractional Algebra Example 1
Combine into a single fraction:
\(\frac{(𝑚+2)}{(3−𝑚)}−\frac{(2𝑚+5)}{(5𝑚−15)}\)
Fractional Algebra Example 2
Combine into a single fraction:
\(\frac{2}{(𝑥−1)}+\frac{𝑦}{(1−𝑥)}\)
Fractional Algebra Example 3
Combine into a single fraction:
\(\frac{(𝑥+2)}{(3𝑥−4)}−\frac{(𝑥+1)}{(4−3𝑥)}\)
Fractional Algebra Example 4
Combine into a single fraction:
\(\frac{3}{(𝑥+1)}−\frac{1}{(2𝑥+2)}\)
Fractional Algebra Example 5
Combine into a single fraction:
\(\frac{5}{(𝑥^2−1)}+\frac{3}{(1−𝑥)}\)
Fractional Algebra Example 6
Combine into a single fraction:
\(\frac{2}{(𝑥^2+4𝑥+3)}−\frac{1}{(𝑥^2+5𝑥+6)}\)
Fractional Algebra Example 7
Combine into a single fraction:
\(\frac{4}{(12𝑥^2−3)}−\frac{1}{(6𝑥^2−3𝑥)}\)
Fractional Algebra Example 8
Combine into a single fraction:
\(\frac{1}{(1−𝑥)}−\frac{2}{(1+𝑥)}+\frac{2𝑥}{(𝑥^2−1)}\)