50 POINTS AND BRAINLIEST IF CORRECT Part A: The area of a square is (16x2 − 8x + 1) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work.

Part B: The area of a rectangle is (81x2 − 4y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work.

Part A

By the identity

(a2±2ab+b2)=(a±b)2

(16x2−8x+1)=(4x−1)2

so the side of the square is 4x-1

Part B

By the identity

(a2−b2)=(a−b)(a+b)

(81x2−4y2)=(9x−2y)(9x+2y)

then the sides of the rectangle are 9x-2y and 9x+2y

Step-by-step explanation:

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.