Question

1) Add 5x2+9x+6xy and, 4x+3x2 -8xy.

Answer 1

Answer:

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Answer 2

Addition of the polynomials 5x²+ 9x + 6xy and, 4x+ 3x² - 8xy is

8x² + 13x -2xy    

Given:

5x²+ 9x + 6xy and, 4x+ 3x² - 8xy  

To find:

Add 5x²+ 9x + 6xy and, 4x+ 3x² - 8xy    

Solution:

The polynomial can be added as follows

=> 5x²+ 9x + 6xy + 4x + 3x² - 8xy    

Group out the like terms

=> 5x²+ 3x² + 9x + 4x + 6xy - 8xy      

=> (5 + 3)x² + (9 + 4)x + (6 - 8)xy

Now add and subtract the coefficients of the variables

=>  (8)x² + (13)x + (-2)xy  

=>  8x² + 13x -2xy    

Therefore,

Addition of the polynomials 5x²+ 9x + 6xy and, 4x+ 3x² - 8xy is

8x² + 13x -2xy    

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