1. simplify the expression and explain each step: 4(3x+2)-2.
2. factor the expression completely: 20b - 16.

The correct answers are:

12x+6; and 4(5b-4).

Explanation:

For the first question, we first use the distributive property. It states that we multiply everything within parentheses by the term outside parentheses:

4(3x+2)-2 = 4(3x)+4(2)-2 = 12x+8-2

Combine like terms:

12x+(8-2) = 12x+6

For the second question, we first find the GCF. To do this, find the prime factorization of 20 and 16:

20 = 4*5

4 = 2*2

20 = 2*2*5

16 = 4*4

4 = 2*2

16 = 2*2*2*2

For the GCF, we take the common factors; these are 2*2 = 4. This makes 4 the GCF.

Factoring 4 out of 20b, we have 5b; factoring 4 out of -16 gives us -4. This gives us 4(5b-4).

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

b. would be the answer : )

step-by-step explanation:

step 1: add -16x to both sides.

16x−4y+−16x=64+−16x  

−4y=−16x+64

step 2: divide both sides by -4.

−4y /-4 = -16x + 64/-4

answer:   y=4x−16

hope i'm right