Ummyasmeen
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- Sep 27, 2011
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(8v^2t-6vt+ 7t^2)(vt- 6t+v) I just cant get it going 
stuck
- Thread starter Ummyasmeen
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you know the acronym FOIL ( first outside inside last) when you have 2 terms multiplied by 2 terms? That's just a way of remembering to multiplying each term in the 1st bracket by each term in the second bracket.
(8v^2t-6vt+ 7t^2)(vt- 6t+v)
so you would have
(8v^2t)(vt)- 8v^2t(6t) + 8v^2t(v)
keep going like that
(8v^2t-6vt+ 7t^2)(vt- 6t+v)
so you would have
(8v^2t)(vt)- 8v^2t(6t) + 8v^2t(v)
keep going like that
Hello, Ummyasmeen!
You were never taught how to multiply polynomials? . . . Hard to believe!
Simple rule: multiply each term of the 1st polynomial by each term of the 2nd polynomial.
\(\displaystyle (8v^2t - 6vt + 7t^2)(vt - 6t + v)\)
. . \(\displaystyle =\;(8v^2t)(vt) + (8v^2t)(\text{-}6t) + (8v^2t)(v)\)
. . . . . . \(\displaystyle +\\text{-}6vt)(vt) + (\text{-}6vt)(\text{-}6t) + (\text{-}6vt)(v)\)
. . . . . . . . \(\displaystyle +\7t^2)(vt) + (7t^2)(\text{-}6t) +_ (7t^2)(v) \)
. . \(\displaystyle =\;8v^3t^2 - 48v^2t^2 + 8v^3t\)
. . . . . . \(\displaystyle -6v^2t^2 + 36vt^2 - 6v^2t\)
. . . . . . . . \(\displaystyle + 7vt^3 - 42t^3 + 7vt^2\)
. . \(\displaystyle =\;8v^3t^2 + 8v^3t - 54v^2t^2 - 6v^2t + 43vt^2 + 7vt^3 - 42t^3\)
You were never taught how to multiply polynomials? . . . Hard to believe!
Simple rule: multiply each term of the 1st polynomial by each term of the 2nd polynomial.
\(\displaystyle (8v^2t - 6vt + 7t^2)(vt - 6t + v)\)
. . \(\displaystyle =\;(8v^2t)(vt) + (8v^2t)(\text{-}6t) + (8v^2t)(v)\)
. . . . . . \(\displaystyle +\
\text{-}6vt)(vt) + (\text{-}6vt)(\text{-}6t) + (\text{-}6vt)(v)\). . . . . . . . \(\displaystyle +\
7t^2)(vt) + (7t^2)(\text{-}6t) +_ (7t^2)(v) \). . \(\displaystyle =\;8v^3t^2 - 48v^2t^2 + 8v^3t\)
. . . . . . \(\displaystyle -6v^2t^2 + 36vt^2 - 6v^2t\)
. . . . . . . . \(\displaystyle + 7vt^3 - 42t^3 + 7vt^2\)
. . \(\displaystyle =\;8v^3t^2 + 8v^3t - 54v^2t^2 - 6v^2t + 43vt^2 + 7vt^3 - 42t^3\)