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2a^{2}+ab-b^{2}-2a^{2}+3b^{2}
Use the distributive property to multiply a+b by 2a-b and combine like terms.
ab-b^{2}+3b^{2}
Combine 2a^{2} and -2a^{2} to get 0.
ab+2b^{2}
Combine -b^{2} and 3b^{2} to get 2b^{2}.
2a^{2}+ab-b^{2}-2a^{2}+3b^{2}
Use the distributive property to multiply a+b by 2a-b and combine like terms.
ab-b^{2}+3b^{2}
Combine 2a^{2} and -2a^{2} to get 0.
ab+2b^{2}
Combine -b^{2} and 3b^{2} to get 2b^{2}.