Question

Using FOIL, solve (t + 2bs^2) (2t-3bs^2) please show all the steps.

Answer 1

2t^2+-6b^2s^4+4bs^2t-3bs^2t

so 2t^2-6b^2s^4+bs^2t is your answer

Answer 2

foil
first
outer
inner
last
example if you had
(x+y)(z+t)
first x times z
outer x time t
inner y times z
last y times t


so

FOIL
(t+2bs^2)(2t-3bs^2)
FIRST (t times 2t=2t^2)
Outer (t times -3bs^2=-3tbs^2)
Inner (2bs^2 times 2t=4tbs^2)
Last (2bs^2 times -3bs^2=-6b^2s^4)

now add
2t^2-3tbs^2+4tbs^2-6b^2s^4
add like terms (-3tbs^2+4tbs^2=1tbs^2=tbs^2)
2t^2+tbs^2-6b^2s^4