Evaluate
\frac{a^{2}+6b^{2}}{4}
Factor
\frac{a^{2}+6b^{2}}{4}
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\frac{1}{4}a^{2}+b^{2}+\frac{1}{2}b^{2}
Combine \frac{1}{2}a^{2} and -\frac{1}{4}a^{2} to get \frac{1}{4}a^{2}.
\frac{1}{4}a^{2}+\frac{3}{2}b^{2}
Combine b^{2} and \frac{1}{2}b^{2} to get \frac{3}{2}b^{2}.
\frac{2a^{2}+4b^{2}-a^{2}+2b^{2}}{4}
Factor out \frac{1}{4}.
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