Question

simflipy : (a+b+c) (a+b+c)​

Answer 1

Answer:

__________

${a}^{2} + {b}^{2} + {c}^{2} + 2ab + 2ac + 2bc$

Step-by-step explanation:

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$(a+b+c) (a+b+c)$

$a(a+b+c) +b(a+b+c) +c(a+b+c)$

$(a \times a) + (a \times b) + (a \times c) + (b \times a) + (b \times b) + (b \times c) + (c \times a) + (c \times b) + (c \times c)$

${a}^{2} + ab + ac + ab + {b}^{2} +bc + ac + bc + {c}^{2}$

${a}^{2} + (1 + 1)ab + (1 + 1)ac + {b}^{2} + (1 + 1)bc + {c}^{2}$

${a}^{2} + 2ab + 2ac + {b}^{2} + 2bc + {c}^{2}$

${a}^{2} + {b}^{2} + {c}^{2} + 2ab + 2ac + 2bc$

Hope it helps. Thank you