Easy Algebra Step-by-Step

140 Easy Algebra Step-by-Step

Problem Reduce to lowest terms.

a.

15

30

53

53

xy^5 z

xy^5

b.^6

2

x

x

c.

x

x

−

−

3

3

d.^3

3

x

+x

e.

26

(^256)
x
xx^2 + 555
f. x
xx
2
2
1
21
−

• 2 xx
  g. x
  xy
  ()a−b ()aa−b


• 
  

  y
  Solution
  a.
  15
  30
  53
  53
  xy^5 z
  xy^5
  Step 1. Determine the GCF for 15x^5 y^3 z and 30x^5 y^3.
  GCF = 15 x^5 y^3
  Step 2. Write the numerator and denominator as equivalent products with
  the GCF as one of the factors.
  15
  30

  
  

15

15 2

53

53

53

5 3

xyz

xy

xy z

xy

=

⋅

⋅

Step 3. Use the fundamental principle to reduce.

155

155 2 2

5353

5353

xyx z

xyx

⋅ z

⋅

=