Question

Simplify :
(a + b + c) ( a + b + c)​

Answer 1

${(a + b + c)}^{2} = {a}^{2} + {b}^{2} + {c}^{2} + 2ab + 2bc + 2ca$

First of all this is an identity the easiest method to learn it is to derive from normal

$(a + b + c)(a + b + c) \\ = {a}^{2} + ab + ac +ab + {b}^{2} + bc + \\ ca + bc + {c}^{2} \\ = {a}^{2} + {b}^{2} + {c}^{2} + ab + ab + bc + \\ bc + ca + ca \\ = {a}^{2} + {b}^{2} + {c}^{2} + 2ab + 2bc + 2ca$

Steps Of Doing

• first observe the question properly
• then simplify it easily
• In third step rearrange the equation
• you find the same thing as the identity gives you

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