PLEASE HELPP!! f(x) = 3x2 + 5x – 2
g(x) = 5x3 – 4x2 + 4
Find (f +g)(2)
O A. (f +g)(x) = 5x + 3x2 + x + 2
B. (f +g)(x) = 8x3 + x + 2
O c. (f +g)(x) = 523 – 2? + 5x + 2
O D. (f +g)(x) = -52% + 7x2 + 5x – 6

C. (f+g)(x) = 5x^3 - x^2 + 5x + 2

Step-by-step explanation:

Combine like terms:

5x^3 + 0 = 5x^3

-4x^2 + 3x^2 = -x^2

5x + 0 = 5x

4 - 2 = 2

5x^3 - x^2 + 5x + 2

hello from mrbilldoesmath!

answer:

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

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

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

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb