Solve (3x^27x 9)/(x-1)

Question

Simplify the expression

\frac{189 x ^{3}}{x - 1}

Evaluate

\frac{3 x ^{2} \times 7 x \times 9}{x - 1}

Solution

More Steps

Evaluate

3 x^{2} \times 7 x \times 9

Multiply the terms

More Steps

Evaluate

3 \times 7 \times 9

Multiply the terms

21 \times 9

Multiply the numbers

189

189 x^{2} \times x

Multiply the terms with the same base by adding their exponents

189 x^{2 + 1}

Add the numbers

189 x^{3}

\frac{189 x ^{3}}{x - 1}

Show Solution

x = 1

Evaluate

\frac{3 x ^{2} \times 7 x \times 9}{x - 1}

To find the excluded values,set the denominators equal to 0

x - 1 = 0

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

x = 0 + 1

Solution

x = 1

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x = 0

Evaluate

\frac{3 x ^{2} \times 7 x \times 9}{x - 1}

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

\frac{3 x ^{2} \times 7 x \times 9}{x - 1} = 0

Find the domain

More Steps

Evaluate

x - 1 \neq = 0

Move the constant to the right side

x \neq = 0 + 1

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

x \neq = 1

\frac{3 x ^{2} \times 7 x \times 9}{x - 1} = 0, x \neq = 1

Calculate

\frac{3 x ^{2} \times 7 x \times 9}{x - 1} = 0

Multiply

More Steps

Multiply the terms

3 x^{2} \times 7 x \times 9

Multiply the terms

More Steps

Evaluate

3 \times 7 \times 9

Multiply the terms

21 \times 9

Multiply the numbers

189

189 x^{2} \times x

Multiply the terms with the same base by adding their exponents

189 x^{2 + 1}

Add the numbers

189 x^{3}

\frac{189 x ^{3}}{x - 1} = 0

Cross multiply

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

Simplify the equation

189 x^{3} = 0

Rewrite the expression

x^{3} = 0

The only way a power can be 0 is when the base equals 0

x = 0

Check if the solution is in the defined range

x = 0, x \neq = 1

Solution

x = 0

Show Solution