Solve 2A^350-1A - ScanMath

Question

Simplify the expression

100 A^{3} - A

Evaluate

2 A^{3} \times 50 - 1 \times A

Multiply the terms

100 A^{3} - 1 \times A

Solution

100 A^{3} - A

Show Solution

A (10 A - 1) (10 A + 1)

Evaluate

2 A^{3} \times 50 - 1 \times A

Evaluate

100 A^{3} - 1 \times A

Any expression multiplied by 1 remains the same

100 A^{3} - A

Factor out A from the expression

A (100 A^{2} - 1)

Solution

More Steps

Evaluate

100 A^{2} - 1

Rewrite the expression in exponential form

(10 A)^{2} - 1^{2}

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

(10 A - 1) (10 A + 1)

A (10 A - 1) (10 A + 1)

Show Solution

A_{1} = - \frac{1}{10}, A_{2} = 0, A_{3} = \frac{1}{10}

Alternative Form

A_{1} = - 0.1, A_{2} = 0, A_{3} = 0.1

Evaluate

2 A^{3} \times 50 - 1 \times A

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

2 A^{3} \times 50 - 1 \times A = 0

Multiply the terms

100 A^{3} - 1 \times A = 0

Any expression multiplied by 1 remains the same

100 A^{3} - A = 0

Factor the expression

A (100 A^{2} - 1) = 0

Separate the equation into 2 possible cases

A = 0 100 A^{2} - 1 = 0

Solve the equation

More Steps

Evaluate

100 A^{2} - 1 = 0

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

100 A^{2} = 0 + 1

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

100 A^{2} = 1

Divide both sides

\frac{100 A ^{2}}{100} = \frac{1}{100}

Divide the numbers

A^{2} = \frac{1}{100}

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

A = \pm \frac{1}{100}

Simplify the expression

More Steps

Evaluate

\frac{1}{100}

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

\frac{1}{100}

Simplify the radical expression

\frac{1}{100}

Simplify the radical expression

\frac{1}{10}

A = \pm \frac{1}{10}

Separate the equation into 2 possible cases

A = \frac{1}{10} A = - \frac{1}{10}

A = 0 A = \frac{1}{10} A = - \frac{1}{10}

Solution

A_{1} = - \frac{1}{10}, A_{2} = 0, A_{3} = \frac{1}{10}

Alternative Form

A_{1} = - 0.1, A_{2} = 0, A_{3} = 0.1

Show Solution