Answer :

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).

4(3x+2)-2 when simplified becomes 12x + 6.

When 20b - 16 is completely factored, the expression becomes 4(5b - 4).

The BODMAS rule would be used to simplify the expression, BODMAS is an abbreviation for bracket, of, division, multiplication, addition and subtraction. It dictates the order in which a mathematical expression should be solved.  

4(3x+2)-2

The first step is to expand the term in the bracket by multiplying by 4

12x + 8 - 2

The second step is to add similar terms together

12x + 6

In order to simplify the expression, the highest common factor of 20 and 16 has to be determined. The highest common factor is 4.

The second step is to divide both numbers by 4.

The expression becomes : 4(5b - 4).

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