AIM: How do we add and subtract rational expressions?

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Presentation transcript:

AIM: How do we add and subtract rational expressions? Do Now: Perform the given operation 1) x² + 7x +12 . x² - 5x -14 2) 3x + 15 by 2x + 10 x² - 8x + 7 x² + 6x + 8 7x + 7 35x - 70 HW #8 pg 56 #15-19

If the expressions have the same (common) denominator, add or subtract the numerators, keep the same denominator, and simplify the result.

To add or subtract fractions with different denominators: 1) find the least common denominator (LCD), 2) change each fraction so that it has that denominator, 3) then add or subtract the numerators. 4) Final Step – Simplify, if possible. Add 5/8 + 6/5

To find the LCD factor each denominator write the different factors give each factor the highest power to which it occurs multiply the results

Subtract: LCD = change each fraction to LCD add/subtract simplify

Add : LCD = change each fraction to LCD add/subtract simplify

Let’s try something more challenging: 2___ + 16____ x² + x – 2 x² + 2x - 3

One for the road: x²___ - 2x x² + 7x + 12 x + 4