Given the expression: 3x10 − 48x2 Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)

Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

(a)

(b)

Step-by-step explanation:

Given the expression:

Part A

The greatest common factors of the terms .

Therefore, we can rewrite the expression as:

Part B

To factor the expression completely, we first factor the term in the bracket.

The expression factorized completely is:

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752

answer: its c because when it has a magnet next to it it will move away from the mixture. hope this

step-by-step explanation: