Solve (sin(5 * pi) / 18) - (((sin(7 * pi) / 18) sin(1

Question

Simplify the expression

- \frac{90 s n p + 7 s ^{2} n ^{2} p ^{2}}{324}

Evaluate

(s in (5 p i) \div 18) - (((s in (7 p i) \div 18) s in (1 \times p i)) \div 18)

Remove the parentheses

(s in \times 5 p i \div 18) - (((s in \times 7 p i \div 18) s in \times 1 \times p i) \div 18)

Multiply the terms

More Steps

((- 5 s n p) \div 18) - (((s in \times 7 p i \div 18) s in \times 1 \times p i) \div 18)

Divide the terms

More Steps

(- \frac{5 s n p}{18}) - (((s in \times 7 p i \div 18) s in \times 1 \times p i) \div 18)

Remove the parentheses

- \frac{5 s n p}{18} - (((s in \times 7 p i \div 18) s in \times 1 \times p i) \div 18)

Multiply the terms

More Steps

- \frac{5 s n p}{18} - ((((- 7 s n p) \div 18) s in \times 1 \times p i) \div 18)

Divide the terms

More Steps

- \frac{5 s n p}{18} - (((- \frac{7 s n p}{18}) s in \times 1 \times p i) \div 18)

Remove the parentheses

- \frac{5 s n p}{18} - ((- \frac{7 s n p}{18} s in \times 1 \times p i) \div 18)

Multiply the terms

More Steps

- \frac{5 s n p}{18} - (\frac{7 s ^{2} n ^{2} p ^{2}}{18} \div 18)

Divide the terms

More Steps

- \frac{5 s n p}{18} - \frac{7 s ^{2} n ^{2} p ^{2}}{324}

Reduce fractions to a common denominator

- \frac{5 s n p \times 18}{18 \times 18} - \frac{7 s ^{2} n ^{2} p ^{2}}{324}

Multiply the numbers

- \frac{5 s n p \times 18}{324} - \frac{7 s ^{2} n ^{2} p ^{2}}{324}

Write all numerators above the common denominator

\frac{- 5 s n p \times 18 - 7 s ^{2} n ^{2} p ^{2}}{324}

Multiply the terms

\frac{- 90 s n p - 7 s ^{2} n ^{2} p ^{2}}{324}

Solution

- \frac{90 s n p + 7 s ^{2} n ^{2} p ^{2}}{324}

Show Solution