Solve (12x^6/21x^2-21)/6x^2 9x^3/7x^3-7x^2

Question

Simplify the expression

\frac{12 x ^{16} - 441 x ^{8} - 686 x ^{2}}{98}

Evaluate

\frac{( 12 \times \frac{x ^{6}}{21} ) x ^{2} - 21}{6} \times x^{2} (9 \times \frac{x ^{3}}{7}) x^{3} - 7 x^{2}

Remove the parentheses

\frac{12 \times \frac{x ^{6}}{21} x ^{2} - 21}{6} \times x^{2} \times 9 \times \frac{x ^{3}}{7} x^{3} - 7 x^{2}

Multiply the terms

More Steps

\frac{\frac{4 x ^{8}}{7} - 21}{6} \times x^{2} \times 9 \times \frac{x ^{3}}{7} x^{3} - 7 x^{2}

Subtract the terms

More Steps

\frac{\frac{4 x ^{8} - 147}{7}}{6} x^{2} \times 9 \times \frac{x ^{3}}{7} x^{3} - 7 x^{2}

Divide the terms

More Steps

\frac{4 x ^{8} - 147}{42} \times x^{2} \times 9 \times \frac{x ^{3}}{7} x^{3} - 7 x^{2}

Multiply

More Steps

\frac{3 x ^{8} ( 4 x ^{8} - 147 )}{98} - 7 x^{2}

Reduce fractions to a common denominator

\frac{3 x ^{8} ( 4 x ^{8} - 147 )}{98} - \frac{7 x ^{2} \times 98}{98}

Write all numerators above the common denominator

\frac{3 x ^{8} ( 4 x ^{8} - 147 ) - 7 x ^{2} \times 98}{98}

Multiply the terms

More Steps

\frac{12 x ^{16} - 441 x ^{8} - 7 x ^{2} \times 98}{98}

Solution

\frac{12 x ^{16} - 441 x ^{8} - 686 x ^{2}}{98}

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