Solve -3x^2/(x^31) 1/(x^2-x 1) 1/( x 1 )

Question

Simplify the expression

- \frac{3}{x ^{4} - x ^{3}}

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x = 0, x = 1

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x \in \emptyset

Evaluate

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

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

- (3 \times \frac{x ^{2}}{x ^{3} \times 1}) \times \frac{1}{x ^{2} - x \times 1} \times \frac{1}{x \times 1} = 0

Find the domain

More Steps

- (3 \times \frac{x ^{2}}{x ^{3} \times 1}) \times \frac{1}{x ^{2} - x \times 1} \times \frac{1}{x \times 1} = 0, x \in (- \infty, 0) \cup (0, 1) \cup (1, + \infty)

Calculate

- (3 \times \frac{x ^{2}}{x ^{3} \times 1}) \times \frac{1}{x ^{2} - x \times 1} \times \frac{1}{x \times 1} = 0

Any expression multiplied by 1 remains the same

- (3 \times \frac{x ^{2}}{x ^{3}}) \times \frac{1}{x ^{2} - x \times 1} \times \frac{1}{x \times 1} = 0

Divide the terms

More Steps

- (3 \times \frac{1}{x}) \times \frac{1}{x ^{2} - x \times 1} \times \frac{1}{x \times 1} = 0

Multiply the terms

- \frac{3}{x} \times \frac{1}{x ^{2} - x \times 1} \times \frac{1}{x \times 1} = 0

Any expression multiplied by 1 remains the same

- \frac{3}{x} \times \frac{1}{x ^{2} - x} \times \frac{1}{x \times 1} = 0

Any expression multiplied by 1 remains the same

- \frac{3}{x} \times \frac{1}{x ^{2} - x} \times \frac{1}{x} = 0

Multiply the terms

More Steps

- \frac{3}{x ^{2} ( x ^{2} - x )} = 0

Rewrite the expression

\frac{- 3}{x ^{2} ( x ^{2} - x )} = 0

Cross multiply

- 3 = x^{2} (x^{2} - x) \times 0

Simplify the equation

- 3 = 0

Solution

x \in \emptyset

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