Find 406², 72², 145², 1097², and 124² using the identities you have…

Question 7 of 27intermediate🔧 ApplyNumerical5 marks

Find $406^2, 72^2, 145^2, 1097^2$ , and $124^2$ using the identities you have learnt so far.

(i)

$406^2$

Answer

$164836$

(ii)

$72^2$

Answer

$5184$

(iii)

$145^2$

Answer

$21025$

(iv)

$1097^2$

Answer

$1203409$

(v)

Answer

$15376$

Explanation

(i) $(400 + 6)^2 = 160000 + 4800 + 36 = 164836$ (ii) $(70 + 2)^2 = 4900 + 280 + 4 = 5184$ (iii) $(150 - 5)^2 = 22500 - 1500 + 25 = 21025$ (iv) $(1100 - 3)^2 = 1210000 - 6600 + 9 = 1203409$ (v) $(120 + 4)^2 = 14400 + 960 + 16 = 15376$

Previous Next