Well, it is 3 polynomials so let’s break it down first.
(-3x*2 -2xy +y*2) (-4x*2 -xy + 6y*2)
Let’s add these first. The rule is to drop parentheses and add regularly. Bases stay the same, powers add and coefficients multiply.
Ans: (-7x*4 -3x*2 y*2 + 7y*4)
Now let’s add it with the last one.
The answer is: -6x*6 +3x*3 y*3 -6y*6
The polynomial obtained after adding the following polynomial is 3x +3xy +4y²-3x².
A polynomial can be defined as a mathematical expressions made up of indeterminate and coefficients and involving only addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
It is given in the question to add the polynomials
- 3x - 2xy + y²
- 4x² - xy +6y²
x²+ 6xy- y²
Adding the coefficients of like variables having same coefficients.
3x - 2xy + y² + (- 4x² - xy +6y²) + ( x²+ 6xy- y² )
3x -2xy+y² -4x² - xy +6y² + x²+ 6xy- y²
3x +3xy +4y²-3x²
The polynomial obtained after adding the following polynomial is 3x +3xy +4y²-3x².
To know more about Polynomials
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