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Natalka [10]
2 years ago
8

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

Mathematics
1 answer:
skad [1K]2 years ago
8 0

Answer:

<h2>11025</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about: </h3>
  • algebra
<h3>let's solve:</h3>
  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
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