Hello, can someone please explain each step -Step by Step Please Thank you so much

Applying the rules, completely factor the following polynomials:

1. 12x - 18 =
2. x² + 12x =
3. 15a²b⁴ - 60ab³ +45a³b² =
4. x(x - 3) - 5(x - 3) =
5. -12mxz - 3xz + 24mx + 6x =

PRACTICE MULTIPLYING AND FACTORING POLYNOMIALS

Applying the rules, multiply the following. Be sure to put your answer in the simplest form.

1. (x + 3)(x - 5) =
2. (x - 2)(x - 8) =
3. (x + 3)(x² - 5x + 8) =
4. (5c - 3d)² = (5c - 3d)(5c - 3d) =
5. (x - 7)(x + 7) =

Evaluate each expression: Note: / means division

1. 1096⁰

2. (-5)²

3. 7²+ 2⁰

4. 4³ / 2³

Simplify:

5. (y + 3)(y + 2)

6. (x - 4)(x + 6)

7. (3h + 7)(h + 9)

Solve the following equations:

9. 2x + 1 = x

10. 6(x - 5) = 4(2x - 1)

Graphing Quadratics

Graphing the quadratic equations that were used in last class session where particulars about quadratic equations were garnered from analyzing the x-y tables created for each. The equations and tables are provided below for your reference.

1. y = x² + 1

x	-4	-3	-2	-1	0	1	2	3	4
y	17	10	5	2	1	2	5	10	17

What is the ordered pair for the vertex? ________________

What is the axis of symmetry? x = ________________

1. y = -x² - 4

x	-4	-3	-2	-1	0	1	2	3	4
y	-20	-13	-9	-5	-4	-5	-9	-13	-20

What is the ordered pair for the vertex? ________________

What is the axis of symmetry? x = ___