Question

Evaluate 105^2 with formula fast​

Answer 1

$\huge\rm\color{red}{Answer:}$

$\begin{gathered}({105})^{2} \\ ( {100 + 5})^{2} \\ ({100})^{2} +( {5})^{2} + 2(100)(5) \\ 10000 + 25 + 1000 \\ 11025\end{gathered}$

$\sf{identity \: used \: is \: ({a + b})^{2} = {a}^{2} + {b}^{2}}$

Thankyou :)

Answer 2

Answer:

$(a + b {}) { }^{2}$

by applying this formula

here:105=100+5

so a=100 and b=5

from the above identity

(105)^2=100^+2×100+5×5^2

by simplifing we get:

(105)^2=10000+1000+25

by simplifing the answer we get is

(105)^2=11025

so

(105)^2=11025

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