Solve (a-b)^3 = (b-a)^3

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Type your math problem... (a-b)^3 = (b-a)^3

Question

Solve the equation

Solve for a

Solve for b

a = b

Evaluate

(a - b)^{3} = (b - a)^{3}

Raise both sides of the equation to the reciprocal of the exponent

((a - b)^{3})^{\frac{1}{3}} = ((b - a)^{3})^{\frac{1}{3}}

Evaluate the power

a - b = b - a

Move the expression to the left side

a - b + a = b

Move the expression to the right side

a + a = b + b

Add and subtract

More Steps

Evaluate

a + a

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

(1 + 1) a

Add the numbers

2 a

2 a = b + b

Add and subtract

More Steps

Evaluate

b + b

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

(1 + 1) b

Add the numbers

2 b

2 a = 2 b

Divide both sides

\frac{2 a}{2} = \frac{2 b}{2}

Divide the numbers

a = \frac{2 b}{2}

Solution

More Steps

Evaluate

\frac{2 b}{2}

Reduce the numbers

\frac{b}{1}

Calculate

b

a = b

Show Solution

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