Help with response : Do you agree with how the peer used the vocabulary? Did the peer handle the negatives in the formulas accurately?

1.I will use the following five vocabulary words in my discussion demonstrating my understanding of their meaning as relating to the math work.

exponent

integer

variable

lowest terms

divisor

2.I will be using my children's birth date for this exercise, June 30, 2011. I'll be using the following integers:

a = 6

b = -30

c = 11

I will be using the algebraic expressions in A - C given in the assignment for parts 3 - 5 of the discussion.

1.a^3 - b^3

6^3 - (-30) ^3

216 - (-27,000)

216 + 27,000

27,216

This is the given expression withvariables a and b and

exponents of 3 on each of them.I plugged in 6 forvariablea and -30 forvariableb.

Theintegers were raised to the givenexponents.

Minus a negative becomes a plus.Final answer is 27,216

1.B) (a - b) (a2 + ab + b2)

[6 - (-30)] [6^2 + 6(-30) + (-30) ^2]

[6 + 30] [36 + (-180) + 900]

36(36 - 180 + 900)

36(756)

27,216

This is the given expression which also usesvariablea and b.I plugged in 6 for a and -30 for b in each case.In the first part the two negatives become a positive and in the second part the squaring and the multiplication was done.The first addition was done, and the signs were simplified.Final answer is 27,216

1.b - c

2b - a

-30 - 11

2(-30) - 6

-41

-66

The final expression uses all threevariables:a, b, and c.It is a rational expression with adivisorof 2b - a.Theintegersare plugged in forvariables.Both numerator and denominator have been evaluated and both are negative.Typically, this means that the definitive answer should be positive.However, the final answer is in lowest terms as there is no LCD.