Question

check work:
part a.) the area of a square is (16x^2-8x+1) square units. determine the length of each side of the square by factoring the areas expressions completely. show all work part
b.) the area of a rectangle is (81x^2-4y^2)square units. determine the dimensions of the rectangle by factoring the area of the expression. show work
c.) the volume of a rectangular box is (x^3-9x^2-4x+36) cubic units. determine the dimensions of the rectangular box by factoring the volume expression completely. show all work

Answer 1

a.
16x^ 2 −4x−4x+1=4x(4x−1)−1(4x−1)=(4x−1)(4x−1)=(4x−1) 2
Length of each side=4x-1 square units

Answer 2

1. b.
a 2 −b 2 =(a+b)(a−b)

Answer 3

c.) x 2 (x−9)−4(x−9)=(x−9)(x 2 −4)
make also the factors of
x 2 −4

Answer 4

great job! :)

Answer 5

thanks :)