Solve 4b^16-1/16d^4= | Microsoft Math Solver

Factor

\frac{\left(8b^{8}-d^{2}\right)\left(8b^{8}+d^{2}\right)}{16}

Solution Steps

4 b ^ { 16 } - \frac { 1 } { 16 } d ^ { 4 } =

Factor out \frac{1}{16}.

\frac{64b^{16}-d^{4}}{16}

Consider 64b^{16}-d^{4}. Rewrite 64b^{16}-d^{4} as \left(8b^{8}\right)^{2}-\left(d^{2}\right)^{2}. The difference of squares can be factored using the rule: p^{2}-q^{2}=\left(p-q\right)\left(p+q\right).

\left(8b^{8}-d^{2}\right)\left(8b^{8}+d^{2}\right)

Rewrite the complete factored expression.

\frac{\left(8b^{8}-d^{2}\right)\left(8b^{8}+d^{2}\right)}{16}

Evaluate

4b^{16}-\frac{d^{4}}{16}

Quiz

Algebra

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4 b ^ { 16 } - \frac { 1 } { 16 } d ^ { 4 } =

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\frac{64b^{16}-d^{4}}{16}

Factor out \frac{1}{16}.

\left(8b^{8}-d^{2}\right)\left(8b^{8}+d^{2}\right)

\frac{\left(8b^{8}-d^{2}\right)\left(8b^{8}+d^{2}\right)}{16}

Rewrite the complete factored expression.

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