Question

Expand and simplify (x+2)(x+4)(x+6)

Answer 1

Answer:

Multiply the first two binomials: (x+2) & (x+4) using the FOIL method (First, Outer, Inner & Last).

(x+2)(x+4) = x^² + 4x + 2x + 8 = x^² + 6x + 8

Then we multiply the trinomial that we got from the first stage and multiply that by the remaining binomial:

(x^² + 6x + 8) (x + 4)

= x^³ + 4x^² + 6x^² + 24x + 8x + 32

Collect the like terms together to give you:

x^³ + 10x^² + 32x + 32