SOLUTION: (3u^2v – 2)(4u^2v + 6) this is what I got...but to be honest i'm confused a little. (3u^2v – 2)(4u^2v + 6) 12u^2v + 18u^2v 8u^2v - 12 12u^2v + 26u^2v – 1

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: (3u^2v – 2)(4u^2v + 6) this is what I got...but to be honest i'm confused a little. (3u^2v – 2)(4u^2v + 6) 12u^2v + 18u^2v 8u^2v - 12 12u^2v + 26u^2v – 1      Log On


   



Question 153238: (3u^2v – 2)(4u^2v + 6)
this is what I got...but to be honest i'm confused a little.
(3u^2v – 2)(4u^2v + 6)
12u^2v + 18u^2v
8u^2v - 12
12u^2v + 26u^2v – 12
38u^4v^2 – 12

Found 2 solutions by checkley77, jim_thompson5910:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
(3u^2v – 2)(4u^2v + 6)
3u^2v-2
4u^2v+6 now multiply
-----------------------
12u^4v^2-8u^2v+18u^2v-12 now combine like terms (-8u^2v+18u^2v).
12u^4v^2+10u^2v-12
2(6u^4v^2+5u^2v-6) answer.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%283u%5E2v-2%29%284u%5E2v%2B6%29 Start with the given expression.


Now let's FOIL the expression.


Remember, when you FOIL an expression, you follow this procedure:


%28highlight%283u%5E2v%29-2%29%28highlight%284u%5E2v%29%2B6%29 Multiply the First terms:%283%2Au%5E2%2Av%29%2A%284%2Au%5E2%2Av%29=12%2Au%5E4%2Av%5E2.


%28highlight%283u%5E2v%29-2%29%284u%5E2v%2Bhighlight%286%29%29 Multiply the Outer terms:%283%2Au%5E2%2Av%29%2A%286%29=18%2Au%5E2%2Av.


%283u%5E2v%2Bhighlight%28-2%29%29%28highlight%284u%5E2v%29%2B6%29 Multiply the Inner terms:%28-2%29%2A%284%2Au%5E2%2Av%29=-8%2Au%5E2%2Av.


%283u%5E2v%2Bhighlight%28-2%29%29%284u%5E2v%2Bhighlight%286%29%29 Multiply the Last terms:%28-2%29%2A%286%29=-12.


12%2Au%5E4%2Av%5E2%2B18%2Au%5E2%2Av-8%2Au%5E2%2Av-12 Now collect every term to make a single expression.


12%2Au%5E4%2Av%5E2%2B10%2Au%5E2%2Av-12 Now combine like terms.


So %283u%5E2v-2%29%284u%5E2v%2B6%29 FOILs to 12%2Au%5E4%2Av%5E2%2B10%2Au%5E2%2Av-12.


In other words, %283u%5E2v-2%29%284u%5E2v%2B6%29=12u%5E4v%5E2%2B10u%5E2v-12.