Solve 22 * a^33 + a12 * a^23 * a^31 + a13 * a^21 * a^

Question

Simplify the expression

66 a^{3} - a

Show Solution

a (66 a^{2} - 1)

Evaluate

22 a^{3} \times 3 + a \times 12 a^{2} \times 3 a^{3} \times 1 + a \times 13 a^{2} \times 1 \times a^{3} \times 2 - a \times 13 a^{2} \times 2 a^{3} \times 1 - a \times 12 a^{2} \times 1 \times a^{3} \times 3 - a

Multiply the terms

66 a^{3} + a \times 12 a^{2} \times 3 a^{3} \times 1 + a \times 13 a^{2} \times 1 \times a^{3} \times 2 - a \times 13 a^{2} \times 2 a^{3} \times 1 - a \times 12 a^{2} \times 1 \times a^{3} \times 3 - a

Multiply the terms

More Steps

66 a^{3} + 36 a^{6} + a \times 13 a^{2} \times 1 \times a^{3} \times 2 - a \times 13 a^{2} \times 2 a^{3} \times 1 - a \times 12 a^{2} \times 1 \times a^{3} \times 3 - a

Multiply the terms

More Steps

66 a^{3} + 36 a^{6} + 26 a^{6} - a \times 13 a^{2} \times 2 a^{3} \times 1 - a \times 12 a^{2} \times 1 \times a^{3} \times 3 - a

Multiply the terms

More Steps

66 a^{3} + 36 a^{6} + 26 a^{6} - 26 a^{6} - a \times 12 a^{2} \times 1 \times a^{3} \times 3 - a

Multiply the terms

More Steps

66 a^{3} + 36 a^{6} + 26 a^{6} - 26 a^{6} - 36 a^{6} - a

Add the terms

More Steps

66 a^{3} + 62 a^{6} - 26 a^{6} - 36 a^{6} - a

Subtract the terms

More Steps

66 a^{3} + 36 a^{6} - 36 a^{6} - a

Calculate the sum or difference

More Steps

66 a^{3} - a

Rewrite the expression

a \times 66 a^{2} - a

Solution

a (66 a^{2} - 1)

Show Solution

a_{1} = - \frac{66}{66}, a_{2} = 0, a_{3} = \frac{66}{66}

Alternative Form

a_{1} \approx - 0.123091, a_{2} = 0, a_{3} \approx 0.123091

Evaluate

22 a^{3} \times 3 + a \times 12 a^{2} \times 3 a^{3} \times 1 + a \times 13 a^{2} \times 1 \times a^{3} \times 2 - a \times 13 a^{2} \times 2 a^{3} \times 1 - a \times 12 a^{2} \times 1 \times a^{3} \times 3 - a

To find the roots of the expression,set the expression equal to 0

22 a^{3} \times 3 + a \times 12 a^{2} \times 3 a^{3} \times 1 + a \times 13 a^{2} \times 1 \times a^{3} \times 2 - a \times 13 a^{2} \times 2 a^{3} \times 1 - a \times 12 a^{2} \times 1 \times a^{3} \times 3 - a = 0

Multiply the terms

66 a^{3} + a \times 12 a^{2} \times 3 a^{3} \times 1 + a \times 13 a^{2} \times 1 \times a^{3} \times 2 - a \times 13 a^{2} \times 2 a^{3} \times 1 - a \times 12 a^{2} \times 1 \times a^{3} \times 3 - a = 0

Multiply the terms

More Steps

66 a^{3} + 36 a^{6} + a \times 13 a^{2} \times 1 \times a^{3} \times 2 - a \times 13 a^{2} \times 2 a^{3} \times 1 - a \times 12 a^{2} \times 1 \times a^{3} \times 3 - a = 0

Multiply the terms

More Steps

66 a^{3} + 36 a^{6} + 26 a^{6} - a \times 13 a^{2} \times 2 a^{3} \times 1 - a \times 12 a^{2} \times 1 \times a^{3} \times 3 - a = 0

Multiply the terms

More Steps

66 a^{3} + 36 a^{6} + 26 a^{6} - 26 a^{6} - a \times 12 a^{2} \times 1 \times a^{3} \times 3 - a = 0

Add the terms

More Steps

66 a^{3} + 62 a^{6} - 26 a^{6} - a \times 12 a^{2} \times 1 \times a^{3} \times 3 - a = 0

Multiply the terms

More Steps

66 a^{3} + 62 a^{6} - 26 a^{6} - 36 a^{6} - a = 0

Subtract the terms

More Steps

66 a^{3} + 36 a^{6} - 36 a^{6} - a = 0

Calculate the sum or difference

More Steps

66 a^{3} - a = 0

Factor the expression

a (66 a^{2} - 1) = 0

Separate the equation into 2 possible cases

a = 0 66 a^{2} - 1 = 0

Solve the equation

More Steps

a = 0 a = \frac{66}{66} a = - \frac{66}{66}

Solution

a_{1} = - \frac{66}{66}, a_{2} = 0, a_{3} = \frac{66}{66}

Alternative Form

a_{1} \approx - 0.123091, a_{2} = 0, a_{3} \approx 0.123091

Show Solution