An expression is shown below:
4ck2 + 10K2 - 16ck - 40k
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)

PArt A:  2k (2ck + 5k - 8c -20)

Part B: 2k (2c+5) (k-4)

Step-by-step explanation:

Hi, to answer this question we have to analyze the expression given:

4ck2 + 10K2 - 16ck - 40k

Greatest common factor: 2k  

2k (2ck + 5k - 8c -20)

4ck2 + 10K2 - 16ck - 40k

4ck2 - 16ck + 10K2 - 40k

4ck(k -4) + 10k (k-4)

(4ck +10k) (k-4)

2k (2c+5) (k-4)

Feel free to ask for more if needed or if you did not understand something.  

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.