8.5 Rational Expressions with Like Denominators. CORD Math Mrs. Spitz Fall 2006. Objective. Add and subtract rational expressions with like denominators. Upcoming. 8.5 Tuesday/Wednesday – Skip 8.6 8.7 Thursday 10/26 8.8 Friday 10/27 8.9 Monday 10/30 8.10 Tuesday/Wed
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8.5 Rational Expressions with Like Denominators
You can use these same methods to add or subtract rational expressions.
Since x + 2 is the common denominator, add the numerators.
Add the additive inverse of a - 3.
Remember when subtracting rational expressions to add the additive inverse of the second expression.
The GCF of 4 and 8 is 4.
The GCF of 6 and 16 is 2.
Since 3n+4 is the common denominator, subtract the numerators.
Combine like terms.
Factor out a 2 out of the numerator and cancel 3n+4 from both numerator and denominator.
Rewrite 2 – x as x – 2 by multiplying by -1.
Simplify and combine like terms.
← Perimeter formula for rectangle.
← Substitute values.
← Distributive Property
← Combine like terms
← Factor out 2 as common factor and cancel terms that are same in numerator and denominator.
The measure of the perimeter is: