Question

find the square of 2a + b​

Answer 1

Step-by-step explanation:

(2a+b)^2

= (2a)^2 + (b)^2 + 2.(2a).b

According to formula, (x+y)^2 = x^2 + y^2 + 2xy

= (2^2).(a^2)+ (b^2) + 4ab

Since, (2a)^2 = (2^2).(a^2)

= 4(a^2) + (b^2) + 4ab

Hence, Answer = 4(a^2) + (b^2) + 4ab

Answer 2

Answer:

$\large \bold{(2a + b) ^{2} }$

$= \bold{ {(2a)}^{2} + 2 \times 2a \times b + {b}^{2} }$

$= \large{ \underline{ \color{blue}{\bold{4 {a}^{2} + 4ab \: + {b}^{2} }}}}$

Formula required :—

$\boxed{ \color{red}{ \bold {{† \: \: (x + y)}^{2} = {x}^{2} + 2xy + {y}^{2} }}}$