Solve (12y^2 6y-1)-(3y^2 -5y-6)

Question

Simplify the expression

72 y^{3} + 5 - 3 y^{2} + 5 y

Evaluate

(12 y^{2} \times 6 y - 1) - (3 y^{2} - 5 y - 6)

Multiply

More Steps

Multiply the terms

12 y^{2} \times 6 y

Multiply the terms

72 y^{2} \times y

Multiply the terms with the same base by adding their exponents

72 y^{2 + 1}

Add the numbers

72 y^{3}

(72 y^{3} - 1) - (3 y^{2} - 5 y - 6)

Remove the parentheses

72 y^{3} - 1 - (3 y^{2} - 5 y - 6)

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

72 y^{3} - 1 - 3 y^{2} + 5 y + 6

Solution

72 y^{3} + 5 - 3 y^{2} + 5 y

Show Solution

Find the roots

y \approx - 0.343817

Evaluate

(12 y^{2} \times 6 y - 1) - (3 y^{2} - 5 y - 6)

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

(12 y^{2} \times 6 y - 1) - (3 y^{2} - 5 y - 6) = 0

Multiply

More Steps

Multiply the terms

12 y^{2} \times 6 y

Multiply the terms

72 y^{2} \times y

Multiply the terms with the same base by adding their exponents

72 y^{2 + 1}

Add the numbers

72 y^{3}

(72 y^{3} - 1) - (3 y^{2} - 5 y - 6) = 0

Remove the parentheses

72 y^{3} - 1 - (3 y^{2} - 5 y - 6) = 0

Subtract the terms

More Steps

Simplify

72 y^{3} - 1 - (3 y^{2} - 5 y - 6)

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

72 y^{3} - 1 - 3 y^{2} + 5 y + 6

Add the numbers

72 y^{3} + 5 - 3 y^{2} + 5 y

72 y^{3} + 5 - 3 y^{2} + 5 y = 0

Solution

y \approx - 0.343817

Show Solution