What is expand (a-b+c-d)^2 ?

The solution to expand (a-b+c-d)^2 is a^2-2ab+2ac-2ad+b^2-2bc+2bd+c^2-2cd+d^2

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expand (a-b+c-d)^2

expand

(a - b + c - d)^{2}

a^{2} - 2 ab + 2 a c - 2 a d + b^{2} - 2 b c + 2 b d + c^{2} - 2 c d + d^{2}

Solution steps

(a - b + c - d)^{2}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(a - b + c - d)^{2} = (a - b + c - d) (a - b + c - d)

= (a - b + c - d) (a - b + c - d)

Distribute parentheses

= aa + a (- b) + a c + a (- d) - ba - b (- b) - b c - b (- d) + c a + c (- b) + cc + c (- d) - d a - d (- b) - d c - d (- d)

Simplify

aa + a (- b) + a c + a (- d) - ba - b (- b) - b c - b (- d) + c a + c (- b) + cc + c (- d) - d a - d (- b) - d c - d (- d) : a^{2} - 2 ab + 2 a c - 2 a d + b^{2} - 2 b c + 2 b d + c^{2} - 2 c d + d^{2}

= a^{2} - 2 ab + 2 a c - 2 a d + b^{2} - 2 b c + 2 b d + c^{2} - 2 c d + d^{2}

- \frac{2}{3} - \frac{3}{4}

- 827 + 2108

x^{2} + b x + \frac{b ^{2}}{4}

(1 - 3 x)^{4}

\frac{- 42}{- 6}

What is expand (a-b+c-d)^2 ?
The solution to expand (a-b+c-d)^2 is a^2-2ab+2ac-2ad+b^2-2bc+2bd+c^2-2cd+d^2