Question

9.07) Solve using identity

(a+b)^2- (a-b)^2​

Answer 1

Answer:

Using (a−b)

2

= a

2

−2ab+b

2

to calculate the given value

Writing (59

2

) as (60−1)

2

= 60

2

−2×60×1+1

2

= 3600−120+1

The answer is 3481

Answer 2

Step-by-step explanation:

${(a + b)}^{2} - {(a - b)}^{2} \\ = ( {a}^{2} + 2ab + {b}^{2} ) - ( {a}^{2} - 2ab + {b}^{2} ) \\ = {a}^{2} + 2ab + {b}^{2} - {a}^{2} + 2ab - {b}^{2} \\ = \underline{ \underline{ \bf 4ab}}$