Solve 2a^2-41/3a-62b^2-4b/8b-16

Question

Simplify the expression

\frac{12 a ^{2} - 82 a - 375 b ^{2} - 96}{6}

Evaluate

2 a^{2} - \frac{41}{3} a - 62 b^{2} - (4 \times \frac{b}{8}) b - 16

Remove the parentheses

2 a^{2} - \frac{41}{3} a - 62 b^{2} - 4 \times \frac{b}{8} b - 16

Multiply the terms

More Steps

2 a^{2} - \frac{41}{3} a - 62 b^{2} - \frac{b ^{2}}{2} - 16

Rewrite the expression

2 a^{2} - \frac{41 a}{3} - 62 b^{2} - \frac{b ^{2}}{2} - 16

Reduce fractions to a common denominator

\frac{2 a ^{2} \times 3 \times 2}{3 \times 2} - \frac{41 a \times 2}{3 \times 2} - \frac{62 b ^{2} \times 3 \times 2}{3 \times 2} - \frac{b ^{2} \times 3}{2 \times 3} - \frac{16 \times 3 \times 2}{3 \times 2}

Multiply the numbers

\frac{2 a ^{2} \times 3 \times 2}{6} - \frac{41 a \times 2}{3 \times 2} - \frac{62 b ^{2} \times 3 \times 2}{3 \times 2} - \frac{b ^{2} \times 3}{2 \times 3} - \frac{16 \times 3 \times 2}{3 \times 2}

Multiply the numbers

\frac{2 a ^{2} \times 3 \times 2}{6} - \frac{41 a \times 2}{6} - \frac{62 b ^{2} \times 3 \times 2}{3 \times 2} - \frac{b ^{2} \times 3}{2 \times 3} - \frac{16 \times 3 \times 2}{3 \times 2}

Multiply the numbers

\frac{2 a ^{2} \times 3 \times 2}{6} - \frac{41 a \times 2}{6} - \frac{62 b ^{2} \times 3 \times 2}{6} - \frac{b ^{2} \times 3}{2 \times 3} - \frac{16 \times 3 \times 2}{3 \times 2}

Multiply the numbers

\frac{2 a ^{2} \times 3 \times 2}{6} - \frac{41 a \times 2}{6} - \frac{62 b ^{2} \times 3 \times 2}{6} - \frac{b ^{2} \times 3}{6} - \frac{16 \times 3 \times 2}{3 \times 2}

Multiply the numbers

\frac{2 a ^{2} \times 3 \times 2}{6} - \frac{41 a \times 2}{6} - \frac{62 b ^{2} \times 3 \times 2}{6} - \frac{b ^{2} \times 3}{6} - \frac{16 \times 3 \times 2}{6}

Write all numerators above the common denominator

\frac{2 a ^{2} \times 3 \times 2 - 41 a \times 2 - 62 b ^{2} \times 3 \times 2 - b ^{2} \times 3 - 16 \times 3 \times 2}{6}

Multiply the terms

More Steps

\frac{12 a ^{2} - 41 a \times 2 - 62 b ^{2} \times 3 \times 2 - b ^{2} \times 3 - 16 \times 3 \times 2}{6}

Multiply the terms

\frac{12 a ^{2} - 82 a - 62 b ^{2} \times 3 \times 2 - b ^{2} \times 3 - 16 \times 3 \times 2}{6}

Multiply the terms

More Steps

\frac{12 a ^{2} - 82 a - 372 b ^{2} - b ^{2} \times 3 - 16 \times 3 \times 2}{6}

Use the commutative property to reorder the terms

\frac{12 a ^{2} - 82 a - 372 b ^{2} - 3 b ^{2} - 16 \times 3 \times 2}{6}

Multiply the terms

More Steps

\frac{12 a ^{2} - 82 a - 372 b ^{2} - 3 b ^{2} - 96}{6}

Solution

More Steps

\frac{12 a ^{2} - 82 a - 375 b ^{2} - 96}{6}

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