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 + ab + a c + a d + ba + bb + b c + b d + c a + c b + cc + c d + d a + d b + d c + dd

Simplify

aa + ab + a c + a d + ba + bb + b c + b d + c a + c b + cc + c d + d a + d b + d c + dd : 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}

x - \frac{x}{2}

\frac{12}{40}

x + x + x

(x^{2} - 2 x)^{2}

2 (x + 3)^{2}

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