What is a^2+b^2-2b^2-3a^2-a^2+b^2 ?

The solution to a^2+b^2-2b^2-3a^2-a^2+b^2 is -3a^2

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simplify a^2+b^2-2b^2-3a^2-a^2+b^2

simplify

a^{2} + b^{2} - 2 b^{2} - 3 a^{2} - a^{2} + b^{2}

- 3 a^{2}

Solution steps

a^{2} + b^{2} - 2 b^{2} - 3 a^{2} - a^{2} + b^{2}

Group like terms

= a^{2} - 3 a^{2} - a^{2} + b^{2} - 2 b^{2} + b^{2}

Add similar elements:

a^{2} - 3 a^{2} - a^{2} = - 3 a^{2}

= - 3 a^{2} + b^{2} - 2 b^{2} + b^{2}

Add similar elements:

b^{2} - 2 b^{2} + b^{2} = 0

= - 3 a^{2}

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What is a^2+b^2-2b^2-3a^2-a^2+b^2 ?
The solution to a^2+b^2-2b^2-3a^2-a^2+b^2 is -3a^2