Solve (8b^3 - 63b^4 ) - (b^4 - 7b^3 - 3)

Question

Simplify the expression

15 b^{3} - 64 b^{4} + 3

Evaluate

(8 b^{3} - 63 b^{4}) - (b^{4} - 7 b^{3} - 3)

Remove the parentheses

8 b^{3} - 63 b^{4} - (b^{4} - 7 b^{3} - 3)

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

8 b^{3} - 63 b^{4} - b^{4} + 7 b^{3} + 3

Add the terms

More Steps

Evaluate

8 b^{3} + 7 b^{3}

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

(8 + 7) b^{3}

Add the numbers

15 b^{3}

15 b^{3} - 63 b^{4} - b^{4} + 3

Solution

More Steps

Evaluate

- 63 b^{4} - b^{4}

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

(- 63 - 1) b^{4}

Subtract the numbers

- 64 b^{4}

15 b^{3} - 64 b^{4} + 3

Show Solution

Find the roots

b_{1} \approx - 0.416131, b_{2} \approx 0.537029

Evaluate

(8 b^{3} - 63 b^{4}) - (b^{4} - 7 b^{3} - 3)

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

(8 b^{3} - 63 b^{4}) - (b^{4} - 7 b^{3} - 3) = 0

Remove the parentheses

8 b^{3} - 63 b^{4} - (b^{4} - 7 b^{3} - 3) = 0

Subtract the terms

More Steps

Simplify

8 b^{3} - 63 b^{4} - (b^{4} - 7 b^{3} - 3)

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

8 b^{3} - 63 b^{4} - b^{4} + 7 b^{3} + 3

Add the terms

More Steps

Evaluate

8 b^{3} + 7 b^{3}

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

(8 + 7) b^{3}

Add the numbers

15 b^{3}

15 b^{3} - 63 b^{4} - b^{4} + 3

Subtract the terms

More Steps

Evaluate

- 63 b^{4} - b^{4}

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

(- 63 - 1) b^{4}

Subtract the numbers

- 64 b^{4}

15 b^{3} - 64 b^{4} + 3

15 b^{3} - 64 b^{4} + 3 = 0

Calculate

b \approx - 0.416131 b \approx 0.537029

Solution

b_{1} \approx - 0.416131, b_{2} \approx 0.537029

Show Solution