Question

Evaluate (96)^2 using suitable identity

Answer 1

Answer:

${96}^{2} = 9,216$

Step-by-step explanation:

96 can also be written as 100 ― 4

Using the identity $(a - b) {}^{2} = {a}^{2} - 2ab + {b}^{2}$

$(100 - 4) {}^{2} =$$(100) {}^{2} - 2(100)(4) + (4) {}^{2}$

= 10,000 ― 800 + 16

= 9,216

Hence , ${96}^{2} = 9,216$

Answer 2

Step-by-step explanation:

96 can also be written as 100 ― 4

Using the identity (a - b) {}^{2} = {a}^{2} - 2ab + {b}^{2}(a−b)

2

=a

2

−2ab+b

2

(100 - 4) {}^{2} =(100−4)

2

= (100) {}^{2} - 2(100)(4) + (4) {}^{2}(100)

2

−2(100)(4)+(4)

2

= 10,000 ― 800 + 16

= 9,216

Hence , {96}^{2} = 9,21696

2

=9,216