Question

Find the square of the numbers without actual multiplication. i) 57 I) 23​

Answer 1

Answer:

Step-by-step explanation:

(52)*2=3249

(23)*2=529

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Answer 2

Answer

i)6214 ii)

Step-by-step Explanation

i) 57^2 = (50 + 7)^2 = 50(50 + 7) + 7(50 + 7)

= 50 ^2 + 50 * 7 + 7 * 50 + 7^2

= 2500 + 350 + 350 + 14

= 6214

ii)23^2 = (20 + 3)^2 = 20(20 + 3) + 3(20 + 3)

= 20^2 + 20 * 3 + 3 * 20 + 3^2

= 40 + 60 + 60  +  9

= 169

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