Question

Solve- 5c^100 - 80d^100

Answer 1

Simplifying
5c100 + -80d100 = 0

Solving
5c100 + -80d100 = 0

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '80d100' to each side of the equation.
5c100 + -80d100 + 80d100 = 0 + 80d100

Combine like terms: -80d100 + 80d100 = 0
5c100 + 0 = 0 + 80d100
5c100 = 0 + 80d100
Remove the zero:
5c100 = 80d100

Divide each side by '5'.
c100 = 16d100

Simplifying
c100 = 16d100

Combine like terms: 16d100 + -16d100 = 0
c100 + -16d100 = 0

Factor a difference between two squares.
(c50 + 4d50)(c50 + -4d50) = 0

Factor a difference between two squares.
(c50 + 4d50)((c25 + 2d25)(c25 + -2d25)) = 0