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lizz123
 one year ago
Add and subtract polynomials
10(u+v)+8(u1)3(u+6)
@michele_laino
lizz123
 one year ago
Add and subtract polynomials 10(u+v)+8(u1)3(u+6) @michele_laino

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lizz123
 one year ago
Best ResponseYou've already chosen the best response.0What do I have to do first?

OregonDuck
 one year ago
Best ResponseYou've already chosen the best response.0Simplifying 10(u + v) + 8(u + 1) + 3(u + 6) = 0 (u * 10 + v * 10) + 8(u + 1) + 3(u + 6) = 0 (10u + 10v) + 8(u + 1) + 3(u + 6) = 0 Reorder the terms: 10u + 10v + 8(1 + u) + 3(u + 6) = 0 10u + 10v + (1 * 8 + u * 8) + 3(u + 6) = 0 10u + 10v + (8 + 8u) + 3(u + 6) = 0 Reorder the terms: 10u + 10v + 8 + 8u + 3(6 + u) = 0 10u + 10v + 8 + 8u + (6 * 3 + u * 3) = 0 10u + 10v + 8 + 8u + (18 + 3u) = 0 Reorder the terms: 8 + 18 + 10u + 8u + 3u + 10v = 0 Combine like terms: 8 + 18 = 26 26 + 10u + 8u + 3u + 10v = 0 Combine like terms: 10u + 8u = 2u 26 + 2u + 3u + 10v = 0 Combine like terms: 2u + 3u = 5u 26 + 5u + 10v = 0 Solving 26 + 5u + 10v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '26' to each side of the equation. 26 + 5u + 26 + 10v = 0 + 26 Reorder the terms: 26 + 26 + 5u + 10v = 0 + 26 Combine like terms: 26 + 26 = 0 0 + 5u + 10v = 0 + 26 5u + 10v = 0 + 26 Combine like terms: 0 + 26 = 26 5u + 10v = 26 Add '10v' to each side of the equation. 5u + 10v + 10v = 26 + 10v Combine like terms: 10v + 10v = 0 5u + 0 = 26 + 10v 5u = 26 + 10v Divide each side by '5'. u = 5.2 + 2v Simplifying u = 5.2 + 2v

lizz123
 one year ago
Best ResponseYou've already chosen the best response.0So, for the first part I have to distributive property. Correct?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1here you have to apply the distributive propery of multiplication over addition, so we can write: \[\Large \begin{gathered} 10\left( {u + v} \right) + 8\left( {u  1} \right)  3\left( {u + 6} \right) = \hfill \\ \hfill \\ = 10u + 10v + 8u  8  3u  18 = ... \hfill \\ \end{gathered} \] please simplify

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1Hint: next step is: \[\Large \begin{gathered} 10\left( {u + v} \right) + 8\left( {u  1} \right)  3\left( {u + 6} \right) = \hfill \\ \hfill \\ = 10u + 10v + 8u  8  3u  18 = \hfill \\ \hfill \\ = \left( {10 + 8  3} \right)u + 10v  8  18 = ... \hfill \\ \end{gathered} \]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1you have to combine like terms

lizz123
 one year ago
Best ResponseYou've already chosen the best response.0dw:1434402027289:dw Is that correct?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.115 u is right 10 v is right whereas we have 188=26, and not 188

lizz123
 one year ago
Best ResponseYou've already chosen the best response.0nvm it is +10 So the answer is 15u + 10 v +10

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1yes! nevertheless, we have: 8(u1)3(u+3)=8u83u18, so the answer contains 818=26

lizz123
 one year ago
Best ResponseYou've already chosen the best response.0so the answer is: 15u + 10 v  26?

lizz123
 one year ago
Best ResponseYou've already chosen the best response.0oh now I get it thanks. ☺

lizz123
 one year ago
Best ResponseYou've already chosen the best response.0so you know how there is a  sign right where: 3(u+6) don't you have to change the  sign to a + sign and the you have +3(u6) 3u  18 which when I write the equation I have: 10 u + 10 v + 8 u  8  3 u +18 ___________________ So 10 u + 8 u equals 18u which then you have to subtract by 3 which is 15u. Then I keep 10 v the same. 8 + 10 = 10 So the answer should be: 15 u + 10 v + 10 10 u + 10 v +8 u  8 3 u +18 ____________________ 15 u + 10 v + 10
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