Solve (x-1x+2x)(x-1x+2x)(x-1x+2x)

Question

Simplify the expression

8 x^{3}

Evaluate

(x - 1 \times x + 2 x) (x - 1 \times x + 2 x) (x - 1 \times x + 2 x)

Rewrite the expression in exponential form

(x - 1 \times x + 2 x)^{3}

Multiply the terms

(x - x + 2 x)^{3}

Calculate the sum or difference

More Steps

Evaluate

x - x + 2 x

Collect like terms by calculating the sum or difference of their coefficients

(1 - 1 + 2) x

Calculate the sum or difference

2 x

(2 x)^{3}

To raise a product to a power,raise each factor to that power

2^{3} x^{3}

Solution

8 x^{3}

Show Solution

x = 0

Evaluate

(x - 1 \times x + 2 x) (x - 1 \times x + 2 x) (x - 1 \times x + 2 x)

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

(x - 1 \times x + 2 x) (x - 1 \times x + 2 x) (x - 1 \times x + 2 x) = 0

Any expression multiplied by 1 remains the same

(x - x + 2 x) (x - 1 \times x + 2 x) (x - 1 \times x + 2 x) = 0

Subtract the terms

(0 + 2 x) (x - 1 \times x + 2 x) (x - 1 \times x + 2 x) = 0

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

2 x (x - 1 \times x + 2 x) (x - 1 \times x + 2 x) = 0

Any expression multiplied by 1 remains the same

2 x (x - x + 2 x) (x - 1 \times x + 2 x) = 0

Subtract the terms

2 x (0 + 2 x) (x - 1 \times x + 2 x) = 0

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

2 x \times 2 x (x - 1 \times x + 2 x) = 0

Any expression multiplied by 1 remains the same

2 x \times 2 x (x - x + 2 x) = 0

Subtract the terms

2 x \times 2 x (0 + 2 x) = 0

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

2 x \times 2 x \times 2 x = 0

Multiply

More Steps

Multiply the terms

2 x \times 2 x \times 2 x

Multiply the terms with the same base by adding their exponents

2^{1 + 1 + 1} x \times x \times x

Add the numbers

2^{3} x \times x \times x

Multiply the terms with the same base by adding their exponents

2^{3} x^{1 + 1 + 1}

Add the numbers

2^{3} x^{3}

2^{3} x^{3} = 0

Rewrite the expression

x^{3} = 0

Solution

x = 0

Show Solution