SOLUTION: Geometry: A square has sides of length 3x-2cm. Express the area of the square as a polynomial.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Geometry: A square has sides of length 3x-2cm. Express the area of the square as a polynomial.      Log On


   

Question 83741: Geometry: A square has sides of length 3x-2cm. Express the area of the square as a polynomial.
Answer by lekelly(20) About Me  (Show Source):
You can put this solution on YOUR website!
let's first determine what we know about a square: a square has equal sides!
therefore to find the area(A)=length * width
therefore A=(3x-2)*(3x-2)
Use the foil method to find the polynomial: BE CAREFUL OF YOUR SIGNS!
firsts: 3x*3x=9x^2
outers: -2*3x=-6x
inners: -2*3x=-6x
lasts: -2*-2=4
put it all together:
9x^2-6x-6x+4
simplify:
9x^2-12x+4 YOUR ANSWER