Solve 3x^3x^3x-3 - ScanMath

Question

Simplify the expression

Solution

3 x^{7} - 3

Evaluate

3 x^{3} \times x^{3} \times x - 3

Solution

More Steps

Evaluate

3 x^{3} \times x^{3} \times x

Multiply the terms with the same base by adding their exponents

3 x^{3 + 3 + 1}

Add the numbers

3 x^{7}

3 x^{7} - 3

Show Solution

Factor the expression

Factor

3 (x - 1) (x^{6} + x^{5} + x^{4} + x^{3} + x^{2} + x + 1)

Evaluate

3 x^{3} \times x^{3} \times x - 3

Multiply

More Steps

Evaluate

3 x^{3} \times x^{3} \times x

Multiply the terms with the same base by adding their exponents

3 x^{3 + 3 + 1}

Add the numbers

3 x^{7}

3 x^{7} - 3

Factor out 3 from the expression

3 (x^{7} - 1)

Solution

More Steps

Evaluate

x^{7} - 1

Calculate

x^{7} + x^{6} + x^{5} + x^{4} + x^{3} + x^{2} + x - x^{6} - x^{5} - x^{4} - x^{3} - x^{2} - x - 1

Rewrite the expression

x \times x^{6} + x \times x^{5} + x \times x^{4} + x \times x^{3} + x \times x^{2} + x \times x + x - x^{6} - x^{5} - x^{4} - x^{3} - x^{2} - x - 1

Factor out x from the expression

x (x^{6} + x^{5} + x^{4} + x^{3} + x^{2} + x + 1) - x^{6} - x^{5} - x^{4} - x^{3} - x^{2} - x - 1

Factor out - 1 from the expression

x (x^{6} + x^{5} + x^{4} + x^{3} + x^{2} + x + 1) - (x^{6} + x^{5} + x^{4} + x^{3} + x^{2} + x + 1)

Factor out x^{6} + x^{5} + x^{4} + x^{3} + x^{2} + x + 1 from the expression

(x - 1) (x^{6} + x^{5} + x^{4} + x^{3} + x^{2} + x + 1)

3 (x - 1) (x^{6} + x^{5} + x^{4} + x^{3} + x^{2} + x + 1)

Show Solution

Find the roots

Find the roots of the algebra expression

x = 1

Evaluate

3 x^{3} \times x^{3} \times x - 3

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

3 x^{3} \times x^{3} \times x - 3 = 0

Multiply

More Steps

Multiply the terms

3 x^{3} \times x^{3} \times x

Multiply the terms with the same base by adding their exponents

3 x^{3 + 3 + 1}

Add the numbers

3 x^{7}

3 x^{7} - 3 = 0

Move the constant to the right-hand side and change its sign

3 x^{7} = 0 + 3

Removing 0 doesn't change the value,so remove it from the expression

3 x^{7} = 3

Divide both sides

\frac{3 x ^{7}}{3} = \frac{3}{3}

Divide the numbers

x^{7} = \frac{3}{3}

Divide the numbers

More Steps

Evaluate

\frac{3}{3}

Reduce the numbers

\frac{1}{1}

Calculate

1

x^{7} = 1

Take the 7 -th root on both sides of the equation

7 x^{7} = 71

Calculate

x = 71

Solution

x = 1

Show Solution

3x^3x^3x 3

Simplify the expression

Factor the expression

Find the roots