Regroup terms.
\[hatf\times 2=b\imath nom\times 42{(4l)}^{2}b\imath nom\times {34}^{4}-2\]
Use Multiplication Distributive Property: \({(xy)}^{a}={x}^{a}{y}^{a}\).
\[hatf\times 2=b\imath nom\times 42\times {4}^{2}{l}^{2}b\imath nom\times {34}^{4}-2\]
Simplify \({4}^{2}\) to \(16\).
\[hatf\times 2=b\imath nom\times 42\times 16{l}^{2}b\imath nom\times {34}^{4}-2\]
Regroup terms.
\[2hatf=b\imath nom\times 42\times 16{l}^{2}b\imath nom\times {34}^{4}-2\]
Take out the constants.
\[2hatf=(42\times 16)bbnnoomm{l}^{2}\imath \imath \times {34}^{4}-2\]
Simplify \(42\times 16\) to \(672\).
\[2hatf=672bbnnoomm{l}^{2}\imath \imath \times {34}^{4}-2\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[2hatf=672{b}^{2}{n}^{2}{o}^{2}{m}^{2}{l}^{2}{\imath }^{2}\times {34}^{4}-2\]
Use Square Rule: \({i}^{2}=-1\).
\[2hatf=672{b}^{2}{n}^{2}{o}^{2}{m}^{2}{l}^{2}\times -1\times {34}^{4}-2\]
Simplify \(672{b}^{2}{n}^{2}{o}^{2}{m}^{2}{l}^{2}\times -1\times {34}^{4}\) to \(-672{b}^{2}{n}^{2}{o}^{2}{m}^{2}{l}^{2}\times {34}^{4}\).
\[2hatf=-672{b}^{2}{n}^{2}{o}^{2}{m}^{2}{l}^{2}\times {34}^{4}-2\]
Regroup terms.
\[2hatf=-672\times {34}^{4}{b}^{2}{n}^{2}{o}^{2}{m}^{2}{l}^{2}-2\]
Factor out the common term \(2\).
\[2hatf=-2(336\times {34}^{4}{b}^{2}{n}^{2}{o}^{2}{m}^{2}{l}^{2}+1)\]
Divide both sides by \(2\).
\[hatf=-\frac{2(336\times {34}^{4}{b}^{2}{n}^{2}{o}^{2}{m}^{2}{l}^{2}+1)}{2}\]
Cancel \(2\).
\[hatf=-(336\times {34}^{4}{b}^{2}{n}^{2}{o}^{2}{m}^{2}{l}^{2}+1)\]
Remove parentheses.
\[hatf=-336\times {34}^{4}{b}^{2}{n}^{2}{o}^{2}{m}^{2}{l}^{2}-1\]
Divide both sides by \(a\).
\[htf=\frac{-336\times {34}^{4}{b}^{2}{n}^{2}{o}^{2}{m}^{2}{l}^{2}-1}{a}\]
Divide both sides by \(t\).
\[hf=\frac{\frac{-336\times {34}^{4}{b}^{2}{n}^{2}{o}^{2}{m}^{2}{l}^{2}-1}{a}}{t}\]
Simplify \(\frac{\frac{-336\times {34}^{4}{b}^{2}{n}^{2}{o}^{2}{m}^{2}{l}^{2}-1}{a}}{t}\) to \(\frac{-336\times {34}^{4}{b}^{2}{n}^{2}{o}^{2}{m}^{2}{l}^{2}-1}{at}\).
\[hf=\frac{-336\times {34}^{4}{b}^{2}{n}^{2}{o}^{2}{m}^{2}{l}^{2}-1}{at}\]
Divide both sides by \(f\).
\[h=\frac{\frac{-336\times {34}^{4}{b}^{2}{n}^{2}{o}^{2}{m}^{2}{l}^{2}-1}{at}}{f}\]
Simplify \(\frac{\frac{-336\times {34}^{4}{b}^{2}{n}^{2}{o}^{2}{m}^{2}{l}^{2}-1}{at}}{f}\) to \(\frac{-336\times {34}^{4}{b}^{2}{n}^{2}{o}^{2}{m}^{2}{l}^{2}-1}{atf}\).
\[h=\frac{-336\times {34}^{4}{b}^{2}{n}^{2}{o}^{2}{m}^{2}{l}^{2}-1}{atf}\]
h=(-336*34^4*b^2*n^2*o^2*m^2*l^2-1)/(a*t*f)
