What is 4x+3y Simplified?

Question

I am doing Algebra 1 and I was wondering what x+x-3+4^2+2x-x is simplified, also, 20+3xy-3+4y^2+10-2y^2 is simplified. Thank You.

Answer 1

x + x - 3 + 4^2 + 2x - x =

 

x - x + x + 2x + 4^2 - 3 =

 

3x + 16 - 3 =

 

3x + 13

 

 

20 + 3xy - 3 + 4y^2 + 10 - 2y^2 =

 

4y^2 - 2y^2 + 3xy + 20 + 10 - 3 =

 

2y^2 + 3xy + 27

 

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OTOH, if the first squared term was supposed to be 4x^2, then

20 + 3xy - 3 + 4x^2 + 10 - 2y^2 =

4x^2 + 3xy - 2y^2 + 27

 

If this expression is set to 0,

then the equation describes a rotated hyperbola. GeoGebra can be used to find the angle of rotation; see http://www.wyzant.com/resources/files/259766/rotated_hyperbola

Answer 2

 SIMPLIFICATION means combine like terms together, and reduce number of terms of expression:

 

     X + X - 3 + 4 X^2 + 2x - x

 

     combine X's by adding their coefficient.

 

     X + X + 2X - X = 3X

 

       Don't have any other like terms to combine:

 

             4 X^2 + 3X - 3  / is your answer

 

          20 + 3XY -3 + 4 Y^2 + 10 - 2 Y^2 = 2 Y^2 + 3XY + 27

Answer 3

The first one simplified is 3x + 19. The second expression simplified is 2y^2 + 3xy + 27.