Factor the given expression by using Factor by Grouping Method completely and show your work. Check your answer and show that work as well.

(3x - 7)(2x + 3)

Step-by-step explanation:

Multiply 6 by -21, which gets you -126.

Now, we have to find 2 factors that multiply to -126 and add to -5.

These two factors will be -14 and 9.

Now, we can group by putting the 2 factors in place of -5x

6x² + 9x - 14x - 21

Then, we can factor out a common value in both halves of the expression:

3x(2x + 3) - 7(2x + 3)

Now, we can split this into 2 factors:

(3x - 7)(2x + 3)

$25

step-by-step explanation:

25 - 4.50 = 20.5

20.5 / 2 = 10.25

10.25 + 10 = 20.25

20.25 - 12.50 = 7.75

therefore the answer is $25 as shown as the first number.

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3