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\frac{4b^{2}b^{2}}{b^{2}}+\frac{1}{b^{2}}
To add or subtract expressions, expand them to make their denominators the same. Multiply 4b^{2} times \frac{b^{2}}{b^{2}}.
\frac{4b^{2}b^{2}+1}{b^{2}}
Since \frac{4b^{2}b^{2}}{b^{2}} and \frac{1}{b^{2}} have the same denominator, add them by adding their numerators.
\frac{4b^{4}+1}{b^{2}}
Do the multiplications in 4b^{2}b^{2}+1.