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

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

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

expand

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

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

Solution steps

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

Distribute parentheses

= aa + ab + a (- c) + a (- d) + ba + bb + b (- c) + b (- d) + c a + c b + c (- c) + c (- d) + d a + d b + d (- c) + d (- d)

Simplify

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

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

\frac{x ^{2} - 1}{x ^{2} - 2 x + 1} - 1

12 \cdot (- 3)

\frac{1}{1} + \frac{2}{3}

2 \frac{1}{12}

i (3 + 4 i)^{2}

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