Question

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

Answer 1

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

/* By algebraic identity */

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

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

$= a^{2}+(3b)^{2}+c^{2}+2\times a \times 3b + </p><p>2\times 3b \times c + 2\times c \times a$

$= a^{2}+9b^{2}+c^{2}+6ab+ </p><p>6bc + 2ca$

Therefore.,

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

$\green { = a^{2}+9b^{2}+c^{2}+6ab+ </p><p>6bc + 2ca}$

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