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Mathematics 17 Online
OpenStudy (smurfy14):

did i get the right answer? (file attached)

OpenStudy (smurfy14):

OpenStudy (smurfy14):

or is the answer x+5?

myininaya (myininaya):

hey smurfy f(x+h)-f(x)=[(x+h)^3-1]-[x^3-1] =x^3+3x^2h+3xh^2+h^3-1-x^3+1 =3x^2h+3xh^2 =3xh(x+h) (but h=x+3) so =3x(x+3)(x+(x+3)) =3x(x+3)(2x+3)

myininaya (myininaya):

=3x(2x^2+3x+6x+9) =3x(2x^2+9x+9) =6x^3+27x^2+27x

OpenStudy (smurfy14):

oh ok thanks myininaya :)

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