Prove AED is equal to DEB. Do not use vertical angle theorem

Step-by-step explanation:

From the figure attached,

Given:

Lines AB and CD are intersecting each other at a point E.

To prove:

∠ACB ≅ ∠DEB

             Statements                                 Reasons

1). ∠AEC + ∠BEC = 180°                        1). Linear pair theorem

2). ∠DEB + ∠BEC = 180°                       2). Linear pair theorem

3). ∠AEC + ∠BEC = ∠DEB + ∠BEC      3). Transitive property of equality

4). ∠AEC = ∠DEB                                  4). Subtraction property of equality

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3