Add 3a^2+2ab-3b^2 , 4a^2-9b-4b^2

Problem

(3*a^2+2*a*b−3*b^2)+(4*a^2−9*b−4*b^2)

Solution

1. Group like terms by identifying the terms with the same variables and exponents.

(3*a^2+4*a^2)+(2*a*b)+(−3*b^2−4*b^2)+(−9*b)

2. Combine the coefficients of the a^2 terms.

3*a^2+4*a^2=7*a^2

3. Combine the coefficients of the b^2 terms.

−3*b^2−4*b^2=−7*b^2

4. Write the final expression by including the remaining terms that do not have like pairs.

7*a^2+2*a*b−7*b^2−9*b

Final Answer

(3*a^2+2*a*b−3*b^2)+(4*a^2−9*b−4*b^2)=7*a^2+2*a*b−7*b^2−9*b

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