Solve 9x^2-16/x^2-6 9 x x^2 x-12/3x^2 8x - 16

Evaluate

9 x^{2} - \frac{16}{x ^{2}} - 69 x \times x^{2} \times x - \frac{12}{3} x^{2} \times 8 x - 16

Divide the terms

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9 x^{2} - \frac{16}{x ^{2}} - 69 x \times x^{2} \times x - 4 x^{2} \times 8 x - 16

Multiply

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9 x^{2} - \frac{16}{x ^{2}} - 69 x^{4} - 4 x^{2} \times 8 x - 16

Multiply

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9 x^{2} - \frac{16}{x ^{2}} - 69 x^{4} - 32 x^{3} - 16

Reduce fractions to a common denominator

\frac{9 x ^{2} \times x ^{2}}{x ^{2}} - \frac{16}{x ^{2}} - \frac{69 x ^{4} \times x ^{2}}{x ^{2}} - \frac{32 x ^{3} \times x ^{2}}{x ^{2}} - \frac{16 x ^{2}}{x ^{2}}

Write all numerators above the common denominator

\frac{9 x ^{2} \times x ^{2} - 16 - 69 x ^{4} \times x ^{2} - 32 x ^{3} \times x ^{2} - 16 x ^{2}}{x ^{2}}

Multiply the terms

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\frac{9 x ^{4} - 16 - 69 x ^{4} \times x ^{2} - 32 x ^{3} \times x ^{2} - 16 x ^{2}}{x ^{2}}

Multiply the terms

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\frac{9 x ^{4} - 16 - 69 x ^{6} - 32 x ^{3} \times x ^{2} - 16 x ^{2}}{x ^{2}}

Solution

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\frac{9 x ^{4} - 16 - 69 x ^{6} - 32 x ^{5} - 16 x ^{2}}{x ^{2}}

Simplify the expression