Are f(x)=(x²+3x+10)+(2x²+2x-17) and g(x)=(4x²+4x+4)-(x²+x+11) equivalent?

[pappoelarry]

Consider the two functions f(x)=(x²+3x+10)+(2x²+2x-17) and g(x)=(4x²+4x+4)-(x²+x+11). If they are equivalent, prove they are; if they are not equivalent, prove they aren't.

 

[topsquark]

The first function can be simplified by adding like terms: [math]f(x) = 3x^2 + 5x - 7[/math]. Do the same for g(x). Do they come out the same?

-Dan

 

[HOI]

Consider the two functions f(x)=(x²+3x+10)+(2x²+2x-17) and g(x)=(4x²+4x+4)-(x²+x+11). If they are equivalent, prove they are; if they are not equivalent, prove they aren't.

f(x)=(x²+3x+10)+(2x²+2x-17)= (x^2+ 2x^2)+ (3x+ 2x)+(10- 17)
Can you finish that ?

g(x)=(4x²+4x+4)-(x²+x+11)= (4x^2- x^2)+ (4x- x)+ (4- 11)
Can you finish that?

Are they the same?