simplify expression (x^2 + 3x -9)

Question

please show the steps to simplify this expression:

 

 1,      (x^2 + 3x -9) + (-4x^2 + 2x -3)

 

 2.      (r + 3)^2

 

Thank you

Answer 1

Hi L;

1, (x² + 3x -9) + (-4x² + 2x -3)

 

(x² + 3x -9)

+(-4x² + 2x -3)

-3x²+5x-12

 

 

2.  (r+3)²

(r+3)(r+3)

Let's FOIL...

FIRST...(r)(r)=r²

OUTER...(r)(3)=3r

INNER...(3)(r)=3r

LAST...(3)(3)=9

r²+3r+3r+9

r²+6r+9