Check the solution to "What is the formula for a-b-c2?"

Jadiel Yates

Answered question

2022-11-26

What is the formula for

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

Addison Mueller

Beginner2022-11-27Added 10 answers

Determine the formula of

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

.
Rephrase the sentence.

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

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

Put the distributive property to use,

a (b - c) = a b - a c

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

Hence, the formula is

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

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