1.

Expand using suitable identity (4a+2b-c)^2​

Answer»

an EXPAND this USING the IDENTITY -

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

Comparing the given EXPRESSION with the above identity we get -

{(4a + 2b + ( - c))}^{2}  = ( {4a)}^{2}  + ( {2b)}^{2}  +  { (- c)}^{2}  + 2(4a)(2b) + 2(2b)( - c) + 2( - c)(4a)

After simplifying we get-

= 16 {a}^{2}  + 4 {b}^{2}  +  {c}^{2}  + 16ab  - 2bc  - 8ca

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