expand each of the following using suitable identity (a+3b+c) whole square​

Question

expand each of the following using suitable identity (a+3b+c) whole square​

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Arya 6 days 2021-11-25T08:42:32+00:00 1 Answer 0 views 0

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    2021-11-25T08:44:00+00:00

     Expansion \: of \: ( a+3b+c)^{2}

    /* By algebraic identity */

     \pink { (x+y+z)^{2} = x^{2}+y^{2}+z^{2}+2xy+2yz+2zx }

     Here , x = a , y = 3b \:and \: z = c

     = a^{2}+(3b)^{2}+c^{2}+2\times a \times 3b + 2\times 3b \times c + 2\times c \times a

     = a^{2}+9b^{2}+c^{2}+6ab+ 6bc + 2ca

    Therefore.,

     \red{Expansion \: of \: ( a+3b+c)^{2}}

    \green { = a^{2}+9b^{2}+c^{2}+6ab+ 6bc + 2ca}

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