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So, if we wanted to add these two polynomials...

3x^2 - 5x + 7  and  x^2 + 2x - 1

We just add the guys that match up!

( 3x^2 - 5x + 7 ) + ( x^2 + 2x - 1 ) = ( 3x^2 + x^2 ) + ( -5x + 2x ) + ( 7 - 1 ) = 4x^2 - 3x + 7


YOUR TURN:

( 8x^2 - x + 3 ) + ( 2x^2 + 6x + 1 )


Here's a messier one:

( 6nm^2 + 7n - 6m + 3 ) + ( 2nm^2 + 8m - 2 )

Who matches up?

( 6nm^2 + 2nm^2 ) + 7n + ( -6m + 8m ) + ( 3 - 2 ) = 6nm^2 + 7n + 2m + 1


TRY IT:

( 4(a^2)b - ab + 3b^2 - 1 ) + ( (a^2)b + 8ab - 6a^2 + 5 )