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How to Adding Polynomials?
The numerical part of a monomial is called the coefficient.
For example, the coefficient of 5x is 5. The coefficient of -7a2b3 is -7.
Like terms are monomials in which only the coefficients are different.
For example, 3xy and -8xy are like terms, but 9x2 and 9x are not like terms.
To add polynomials, combine like terms. Add only the coefficients.
Example 1: Evaluate (x2 + 4x - 2) + (7x2 - 5x + 8).
(x2 + 4x - 2) + (7x2 - 5x + 8)= x2 + 7x2 + 4x - 5x - 2 + 8= 8x2 - 1x + 6= 8x2 - x + 6
Example 2: Evaluate (y2 + 5y - 5xy) + (4x2 - 3y2 + 7xy).
(y2 + 5y - 5xy) + (4x2 - 3y2 + 7xy)= y2 - 3y2 + 5y - 5xy + 7xy + 4x2= -2y2 + 5y + 2xy + 4x2
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