Question

Find the value of 105 squred using bionomial expansion using (a+b) squred=a squred+2ab + b squred

Answer 1

Answer:

11025

Step-by-step explanation:

to understand this

you need to know about:

• algebra

let's solve:

1. $\sf rewrite \: 105 \: as \: 100 + 5 : \\ \sf (100 + 5 {)}^{2}$
2. $\sf use \: (a + b {)}^{2} = {a}^{2} + 2ab + {b}^{2} \: to \: simplify : \\ \sf {100}^{2} + 2.100.5 + {5}^{2}$
3. $\sf simplify \: squres : \\ \sf 10000 + 2.100.5 + 25$
4. $\sf simplify \: multipication : \\ \sf10000 + 1000 + 25$
5. $\sf simplify \: addition : \\ \sf \: 11025$