Solve 3x^3-12x^2-(3x^3-15x^2)

Question

Simplify the expression

3 x^{2}

Evaluate

3 x^{3} - 12 x^{2} - (3 x^{3} - 15 x^{2})

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

3 x^{3} - 12 x^{2} - 3 x^{3} + 15 x^{2}

The sum of two opposites equals 0

More Steps

Evaluate

3 x^{3} - 3 x^{3}

Collect like terms

(3 - 3) x^{3}

Add the coefficients

0 \times x^{3}

Calculate

0

0 - 12 x^{2} + 15 x^{2}

Remove 0

- 12 x^{2} + 15 x^{2}

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

(- 12 + 15) x^{2}

Solution

3 x^{2}

Show Solution

Find the roots

x = 0

Evaluate

3 x^{3} - 12 x^{2} - (3 x^{3} - 15 x^{2})

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

3 x^{3} - 12 x^{2} - (3 x^{3} - 15 x^{2}) = 0

Subtract the terms

More Steps

Simplify

3 x^{3} - 12 x^{2} - (3 x^{3} - 15 x^{2})

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

3 x^{3} - 12 x^{2} - 3 x^{3} + 15 x^{2}

The sum of two opposites equals 0

More Steps

Evaluate

3 x^{3} - 3 x^{3}

Collect like terms

(3 - 3) x^{3}

Add the coefficients

0 \times x^{3}

Calculate

0

0 - 12 x^{2} + 15 x^{2}

Remove 0

- 12 x^{2} + 15 x^{2}

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

(- 12 + 15) x^{2}

Add the numbers

3 x^{2}

3 x^{2} = 0

Rewrite the expression

x^{2} = 0

Solution

x = 0

Show Solution