I need some help with these problems. Please see attachment.

Please show all work to each equation

Factor out the GCF in each expression

1) 15x^2y^2 - 9xy^2 + 6x^2y

2) a(a + 1) -3(a + 1)

Factor each polynomial completely

3) x^3y + 2x^2y^2 + xy^3

Use grouping to factor each polynomial completely

4) x^3 + ax + 3a + 3x^2

Factor each polynomial. If the polynomial is prime, say so.

5) 18z + 45 + z^2

Factor each polynomial completely. Use the methods in the previous examples. If the polynomial is prime say so.

6) 3x^2y^2 - 3x^2y^2 + 3xy^2

Factor each trinomial using the ac method.
Strategy for factoring ax^2 + bx + c by the ac Method
To factor the trinomial ax^2 + bx + c:
1. Find two numbers that have a product equal to ac and a sum equal to b.
2. Replace bx by two terms using the two new numbers as coefficients.
3. Factor the resulting four-term polynomial by grouping

7) 2x^2 + 11x + 5

Factor each polynomial completely.

8) a^2b + 2ab - 15b

Factor each polynomial completely. If a polynomial is prime, say so.

9) 3x^2 - 8x - 5

10) 3x^2 - 18x - 48

11) 9x^2 + 4y^2

Solve by factoring. Use the strategy for solving equations by factoring section below.
Strategy for Solving an Equation by Factoring
1. Rewrite the equation with 0 on one side.
2. Factor the other side completely.
3. Use the zero factor property to get simple linear equations.
4. Solve the linear equations.
5. Check the answer in the original equation.
6. State the solution(s) to the original equation.

The Zero Factor Property
The equation a * b = 0 is equivalent to
a = 0 or b = 0.

Factor the polynomial below, if prime say so.
Section 6.5
Reference: Examples 3 and 4
Factor each polynomial completely. If a polynomial is prime say so.
Note: See page 303 "Factoring a Difference or Sum of Two Cubes" to factor (m3+n3). This is a good example of factoring by long division and leads to the formula below

See attached document
Section 5.1
# 40 Find the greatest common factor for the group of monomials
16x2z, 49xz2, 72z3
#72 Factor out the GCF in each expression.
a(a+1) - 3(a+1)
Section 5.2
#16 Factor the polynomial.
9a2 - 64b2
#80 Use grouping to factor the polynomial completely.
x3 + ax + 3a + 3x2
Section 5.3
#

Factor each polynomial completely
1. 2a^4 - 32
2. 2m^3 - 250n^3
Factor each polynomial
3. 2y^2 - 17y + 21
Factoring by substitution
4. x^13 - 6x^7 + 9x
Factor each polynomial completely. The variables used in exponents represent positive integers.
#66 -4b^7 + 4b^4 + 3b
How do you work out each problem, I

Please see the attached file for the fully formatted problems.
Factoring and Common Factors
39.
67.
93. The area of a painting. A rectangular painting with a width of x centimeters has an area of square centimeters. Find a binomial that represents the length.
Area =
95. Amount of inve

Please help me understand the following problems: See attached file
Section 5.5
Factor each polynomial completely. If a polynomial is prime, say so.
44. 3x3 - 12x
66. 8b2 +24b + 18
72. 3x2 - 18x - 48
Section 5.6
Solve by factoring.
54. x2 - 36 = 0
Solve each equation.
58. x3 = 4x
66

Please see the attached file for the fully formatted problems.
Section 5.1
Factor out the GCF in each expression.
EX68)
EX 72) a(a+1)-3(a+1)
Section 5.2
Factor each polynomial
EX 16)
Use grouping to factor each polynomial completely.
EX 80)
Section 5.3
Factor each polynomial. If the polynomial is prime, say so.