24.2k views
0 votes
Part A: The area of a square is (9x2 − 18x + 9) 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 (25x2 − 4y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work.

User Qinlong
by
8.2k points

1 Answer

6 votes
A) 9x^2 -18x +9 = 9(x^2 -2x +1) = 3^2*(x -1)^2 = (3(x -1))^2

The length of each side is 3(x -1).


B) 25x^2 -4y^2 = (5x)^2 -(2y)^2 = (5x -2y)*(5x +2y)

The dimensions are (5x -2y) and (5x +2y).

_____
The first question makes use of the "square of a binomial" special form:
(a -b)^2 = a^2 -2ab +b^2

The second question makes use of the "difference of squares" special form:
a^2 -b^2 = (a -b)(a +b)
User Elvn
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories