Question

expand (2a+b+c/2)² pls solve step by step​

Answer 1

Answer:

We know that:

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

Using this identity,

${(2a +b + \frac{c}{2} ) }^{2} \\ = 4 {a}^{2} + {b}^{2} + \frac{ {c}^{2} }{4} + (2)(2a)(b) + (2)(b)( \frac{c}{2}) + (2)(c)(a) \\ = 4 {a}^{2} + {b}^{2} + \frac{ {c}^{2} }{4} + 4ab + bc + 2ca$

Hope this helps

Thanks