Question

Evaluate thefoloowing without actual multiplication

(96)²

(105)²​

Answer 1

Answer:

96*96=9216

105*105=11025

Step-by-step explanation:

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Answer 2

Answer:

(96)² = 9216

(105)² = 11025

Step-by-step explanation:

(96)^2 = 9216

Step-by-step explanation:

96 can be written as 100 - 4

(100-4)^2

[Property: (a - b)^2 = (a)^2 - 2ab + (b)^2 ]

(100)^2-2 (100)(4) + (4)^2

10000 - 800 + 16

10016 - 800

= 9216

(105)^2 = 11025

Step-by-step explanation:

105 can be written as 100 + 5

(100+5)^2

[Property: (a + b)^2 = (a)^2 + 2ab + (b)^2 ]

(100)^2+2 (100)(5) + (5)^2

10000 + 1000 + 25

= 11025