Question

Simplify the rational expressions.
mc001-1.jpg

mc001-2.jpg
mc001-3.jpg

mc001-4.jpg

Answer 1

I can help — but I can't see the images you referenced. Could you either

- re-upload the four images, or
- type each rational expression here (you can use ^ for exponents and / for division, e.g. (x^2-9)/(x^2-6x+9) )

If you want to proceed while you re-upload, here is the standard procedure I’ll use to simplify each expression (and I’ll show one quick example so you see the format I’ll give):

Steps I will follow for each expression
1. Factor numerator and denominator completely (look for GCF, difference of squares, perfect-square trinomials, sum/difference of cubes, or factor quadratics).
2. Cancel any common nonzero factors.
3. State the simplified form and list excluded values (values that make any original denominator zero).

Example
Simplify (x^2 - 9)/(x^2 - 6x + 9):
- Factor: (x^2-9) = (x-3)(x+3); (x^2-6x+9) = (x-3)^2.
- Cancel (x-3): result = (x+3)/(x-3).
- Excluded value: x = 3 (makes the original denominator zero).

Send the expressions (or upload images) and I’ll simplify them step by step.