Simplify the expression:
a (-8a^2 + 2a + 4) +3 (ba^2 - 4)

4 a + 2 a^2 - 8 a^3 + 3 a^2 b - 12

Step-by-step explanation:

Simplify the following:

3 (b a^2 - 4) + a (-8 a^2 + 2 a + 4)

Hint: | Distribute a over -8 a^2 + 2 a + 4.

a (-8 a^2 + 2 a + 4) = -8 a^3 + 2 a^2 + 4 a:

-8 a^3 + 2 a^2 + 4 a + 3 (b a^2 - 4)

Hint: | Distribute 3 over a^2 b - 4.

3 (a^2 b - 4) = 3 a^2 b - 12:

4 a + 2 a^2 - 8 a^3 + 3 a^2 b - 12

step-by-step explanation:

f(gx)=f(1/x+2)

=(1/x+2)+2

=(1+2x)/2+2

=(1+2x+4)/2

= (2x+5)/2