SOLUTION: Factor the Following: a. 49x^2-84x+36 b. 100x^2-81y^2 c. x^2+6x-27 d. 15x^2+7x-2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor the Following: a. 49x^2-84x+36 b. 100x^2-81y^2 c. x^2+6x-27 d. 15x^2+7x-2      Log On


   



Question 1056500: Factor the Following:
a. 49x^2-84x+36 b. 100x^2-81y^2


c. x^2+6x-27 d. 15x^2+7x-2

Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.
Factor the Following:

 
a.  49x%5E2-84x%2B36  = %287x+-+6%29%5E2.                


b.  100x%5E2-81y%5E2  = (10x - 9y)*(10x+9y).


c.  x%5E2%2B6x-27     = (x+9)*(x-3).                 


d.  15x%5E2%2B7x-2    = (5x-1)*(3x+2).


Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Factor the Following:
a. 49x^2-84x+36 b. 100x^2-81y^2


c. x^2+6x-27 d. 15x^2+7x-2
I'll do 1 for you.

b).
100x%5E2+-+81y%5E2 ------ Difference of Two Squares, aka DOTS
highlight_green%28%2810x+-+9y%29%2810x+%2B+9y%29%29