Question

expand using suitable identity (x+2y+4z)^2​

Answer 1

$\huge\mathcal\color {red}QuEstiOn :-$

Expand using suitable identity (x+2y+4z)^2

$\huge\mathcal\color {green}AnSweR :-$

Using Indentity :- ${a+b+c}^{2}$

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

Here,

a = x

b = 2y

c = 4z

$( {x + 2y + 4z)}^{2} \\ {(x)}^{2} + {(2y)}^{2} + {(4z)}^{2} + 2(x \times 2y) + 2(2y \times 4z) + 2(4z \times x) \\ {x}^{2} + {4y}^{2} + {16z}^{2} + 4xy + 16yz + 8zx$

$\huge\bold\star {\fcolorbox {green}{yellow}{Hope\:it\:Helps\:You}}$