Solve p^32p-30 - ScanMath

Question

Simplify the expression

2 p^{4} - 30

Evaluate

p^{3} \times 2 p - 30

Solution

More Steps

Evaluate

p^{3} \times 2 p

Multiply the terms with the same base by adding their exponents

p^{3 + 1} \times 2

Add the numbers

p^{4} \times 2

Use the commutative property to reorder the terms

2 p^{4}

2 p^{4} - 30

Show Solution

2 (p^{4} - 15)

Evaluate

p^{3} \times 2 p - 30

Multiply

More Steps

Evaluate

p^{3} \times 2 p

Multiply the terms with the same base by adding their exponents

p^{3 + 1} \times 2

Add the numbers

p^{4} \times 2

Use the commutative property to reorder the terms

2 p^{4}

2 p^{4} - 30

Solution

2 (p^{4} - 15)

Show Solution

p_{1} = - 415, p_{2} = 415

Alternative Form

p_{1} \approx - 1.96799, p_{2} \approx 1.96799

Evaluate

p^{3} \times 2 p - 30

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

p^{3} \times 2 p - 30 = 0

Multiply

More Steps

Multiply the terms

p^{3} \times 2 p

Multiply the terms with the same base by adding their exponents

p^{3 + 1} \times 2

Add the numbers

p^{4} \times 2

Use the commutative property to reorder the terms

2 p^{4}

2 p^{4} - 30 = 0

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

2 p^{4} = 0 + 30

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

2 p^{4} = 30

Divide both sides

\frac{2 p ^{4}}{2} = \frac{30}{2}

Divide the numbers

p^{4} = \frac{30}{2}

Divide the numbers

More Steps

Evaluate

\frac{30}{2}

Reduce the numbers

\frac{15}{1}

Calculate

15

p^{4} = 15

Take the root of both sides of the equation and remember to use both positive and negative roots

p = \pm 415

Separate the equation into 2 possible cases

p = 415 p = - 415

Solution

p_{1} = - 415, p_{2} = 415

Alternative Form

p_{1} \approx - 1.96799, p_{2} \approx 1.96799

Show Solution