Priya is comparing two functions: f (x) = 10 ·x^2 and g(x) = 30x – 10 to find out which one has greater output values as x gets very large. She notices that f (1) = 10 and f (2) = 40. However, g(1) = 20 and g (2) = 50. She
concludes that as x continues to grow, the values of f will be less than the values of g.
Explain or show why Priya's conclusion is incorrect.

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)

c

step-by-step explanation: easy math

i need points

step-by-step explanation: