Adding and Subtracting Algebraic Fractions

3a/(a+1)^2 , 2a/a+1 , 5a^3/(a+1)^3

(a+1)^3

6/a^2-7a+6 , 3/a^2-36

(a-6)(a-1)(a+6)

7/x^2+4x+4 , 5/4-x^2

(x+2)^2(2-x)

x/x^2-5x+4 , x+1/x^2-16

(x-4)(x-1)(x+4)

5/6 Give the equivalent numerator if the denominator is 24

20

3/7b , 5/3c , 11/21bc The LCD is

21bc

5/6 , 3/8 The LCD is

24

2/xy^2 Give the equivalent numerator if the denominator is x^3y^2

2x^2

2/x-2 Give the equivalent numerator if the denominator is (x-2)(x-1)(x-6).

2x^2-14x+12

3a/(a+1)^2 Give the equivalent numerator if the denominator is (a + 1)³.

3a(a+1)

3/5 Give the equivalent numerator is the denominator is 80

48

6/a^2-7a+6 Give the equivalent numerator if the denominator is (a - 6)(a - 1)(a + 6).

6a+36

3/5 , 5/16 , 9/20 The LCD is

80

To add or subtract algebraic fractions, or numerical fractions, the fractions must have a common denominator.

True

x-1/x^2-x-20 Give the equivalent numerator if the denominator is (x - 5)(x + 4)(x + 3).

x^2+2x-3

x/x^3+y^3 , x/x+y The LCD is

x^3 + y^3