Solve 1/1+x^b-a+x^c-a+1/1+x^a-b+x^c-b+1/1+x^b-c+x^a-c

Question

Simplify the expression

3 + 2 x^{b} - 2 a + 2 x^{c} + 2 x^{a} - 2 b - 2 c

Evaluate

\frac{1}{1} + x^{b} - a + x^{c} - a + \frac{1}{1} + x^{a} - b + x^{c} - b + \frac{1}{1} + x^{b} - c + x^{a} - c

Write the repeated addition as multiplication

\frac{1}{1} \times 3 + x^{b} - a + x^{c} - a + x^{a} - b + x^{c} - b + x^{b} - c + x^{a} - c

Divide the terms

1 \times 3 + x^{b} - a + x^{c} - a + x^{a} - b + x^{c} - b + x^{b} - c + x^{a} - c

Any expression multiplied by 1 remains the same

3 + x^{b} - a + x^{c} - a + x^{a} - b + x^{c} - b + x^{b} - c + x^{a} - c

Add the terms

More Steps

Evaluate

x^{b} + x^{b}

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

(1 + 1) x^{b}

Add the numbers

2 x^{b}

3 + 2 x^{b} - a + x^{c} - a + x^{a} - b + x^{c} - b - c + x^{a} - c

Subtract the terms

More Steps

Evaluate

- a - a

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

(- 1 - 1) a

Subtract the numbers

- 2 a

3 + 2 x^{b} - 2 a + x^{c} + x^{a} - b + x^{c} - b - c + x^{a} - c

Add the terms

More Steps

Evaluate

x^{c} + x^{c}

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

(1 + 1) x^{c}

Add the numbers

2 x^{c}

3 + 2 x^{b} - 2 a + 2 x^{c} + x^{a} - b - b - c + x^{a} - c

Add the terms

More Steps

Evaluate

x^{a} + x^{a}

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

(1 + 1) x^{a}

Add the numbers

2 x^{a}

3 + 2 x^{b} - 2 a + 2 x^{c} + 2 x^{a} - b - b - c - c

Subtract the terms

More Steps

Evaluate

- b - b

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

(- 1 - 1) b

Subtract the numbers

- 2 b

3 + 2 x^{b} - 2 a + 2 x^{c} + 2 x^{a} - 2 b - c - c

Solution

More Steps

Evaluate

- c - c

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

(- 1 - 1) c

Subtract the numbers

- 2 c

3 + 2 x^{b} - 2 a + 2 x^{c} + 2 x^{a} - 2 b - 2 c

Show Solution