Question

find the value of 66 power 2 by using a suitable Identity​

Answer 1

Answer:

$Identity \: -\: {(a + b)}^{2} = {(a)}^{2}+ {(b)}^{2} + 2ab \\ a = 60, \: b = 6 \\ {(60+6)}^{2} = {60}^{2} + {6}^{2} + 2 \times 60 \times 6 \\ = 3600 + 36 + 720} \\ = 4356\\ \\ \: \: \: \: \: Or \\ Identity \: - {(a - b)}^{2} = {(a)}^{2} + {(b)}^{2} - 2ab \\ a = 70 \: ,b = 4 \\ {(70 - 4)}^{2} = {70}^{2} + {4}^{2} - 2 \times 70 \times 4 \\= 4900 + 16 - 560 \\ = 4916 - 560 = 4356$

Answer 2

Step-by-step explanation:

$$\begin{gathered}Identity \: -\: {(a + b)}^{2} = {(a)}^{2}+ {(b)}^{2} + 2ab \\ a = 60, \: b = 6 \\ {(60+6)}^{2} = {60}^{2} + {6}^{2} + 2 \times 60 \times 6 \\ = 3600 + 36 + 720} \\ = 4356\\ \\ \: \: \: \: \: Or \\ Identity \: - {(a - b)}^{2} = {(a)}^{2} + {(b)}^{2} - 2ab \\ a = 70 \: ,b = 4 \\ {(70 - 4)}^{2} = {70}^{2} + {4}^{2} - 2 \times 70 \times 4 \\= 4900 + 16 - 560 \\ = 4916 - 560 = 4356\end{gathered}$$