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19-05-2018
Mathematics

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From the sum of 3a^2−ab−2b^2 and 2a^2+5ab−3b^2 subtract a^2−3ab−4b^2

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cdw2014 cdw2014

19-05-2018

[tex](3a^2-ab-2b^2) + (2a^2+5ab-3b^2) - (a^2-3ab-4b^2)[/tex]

First we distribute the negative throughout the last polynomial:

[tex](3a^2-ab-2b^2) + (2a^2+5ab-3b^2) + (-a^2+3ab+4b^2)[/tex]

Combine like terms:

[tex]4a^2 + 7ab - b^2[/tex]

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