Solve M^3500-4 - ScanMath

Question

Simplify the expression

500 M^{3} - 4

Evaluate

M^{3} \times 500 - 4

Solution

500 M^{3} - 4

Show Solution

4 (5 M - 1) (25 M^{2} + 5 M + 1)

Evaluate

M^{3} \times 500 - 4

Use the commutative property to reorder the terms

500 M^{3} - 4

Factor out 4 from the expression

4 (125 M^{3} - 1)

Solution

More Steps

Evaluate

125 M^{3} - 1

Rewrite the expression in exponential form

(5 M)^{3} - 1^{3}

Use a^{3} - b^{3} = (a - b) (a^{2} + ab + b^{2}) to factor the expression

(5 M - 1) ((5 M)^{2} + 5 M \times 1 + 1^{2})

Evaluate

More Steps

Evaluate

(5 M)^{2}

To raise a product to a power,raise each factor to that power

5^{2} M^{2}

Evaluate the power

25 M^{2}

(5 M - 1) (25 M^{2} + 5 M \times 1 + 1^{2})

Any expression multiplied by 1 remains the same

(5 M - 1) (25 M^{2} + 5 M + 1^{2})

1 raised to any power equals to 1

(5 M - 1) (25 M^{2} + 5 M + 1)

4 (5 M - 1) (25 M^{2} + 5 M + 1)

Show Solution

M = \frac{1}{5}

Alternative Form

M = 0.2

Evaluate

M^{3} \times 500 - 4

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

M^{3} \times 500 - 4 = 0

Use the commutative property to reorder the terms

500 M^{3} - 4 = 0

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

500 M^{3} = 0 + 4

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

500 M^{3} = 4

Divide both sides

\frac{500 M ^{3}}{500} = \frac{4}{500}

Divide the numbers

M^{3} = \frac{4}{500}

Cancel out the common factor 4

M^{3} = \frac{1}{125}

Take the 3 -th root on both sides of the equation

3 M^{3} = 3 \frac{1}{125}

Calculate

M = 3 \frac{1}{125}

Solution

More Steps

Evaluate

3 \frac{1}{125}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{3 1}{3 125}

Simplify the radical expression

\frac{1}{3 125}

Simplify the radical expression

More Steps

Evaluate

3125

Write the number in exponential form with the base of 5

3 5^{3}

Reduce the index of the radical and exponent with 3

5

\frac{1}{5}

M = \frac{1}{5}

Alternative Form

M = 0.2

Show Solution