100 points! simplify write as a product compute

a)

b)

c)

Step-by-step explanation:

We want to simplify

Let :

Square both sides of the equation:

Expand the RHS;

Compare coefficients on both sides:

Solve the equations simultaneously,

Solve the quadratic equation in b²

This implies that:

When b=-3,

Therefore

We want to rewrite as a product:

as a product:

We rearrange to get:

We factor to get:

Factor again to get;

We rewrite as difference of two squares:

We factor the difference of square further to get;

c) We want to compute:

Let the numerator,

Square both sides of the equation;

Compare coefficients in both equations;

and

Put equation (2) in (1) and solve;

When b=-1, a=-2

This means that:

This implies that:

yes the total will be same because in both of them the expression.is rearranged but their sign remains the same hence it hss just been shuffled