Fill in the blanks with the correct coefficients. (b2+13b−9)−(6−4b+3b2) = ____ b2+ ____b+_____

Question

it is subtracting polynomials and figuring out the correct coefficents but i dont really understand how to do that

Answer 1

b^2 + 13b -9

3b^2-4b +6

-2b^2+17b-15

subtract the squared b terms, the linear b terms and the constant terms separately

b^2-3b^2= -2b^2

13b -(-4b) = 13b+4b= 17b

-9 -6 = -15

Answer 2

b^2+13b-9 -6+4b-3b^2 removing the negative sign

-2b^2 + 17b - 15