Question

Evaluate 66×74 using Identity

Answer 1

66 × 74

In this question we can apply ( a + b ) ( a - b ), but we have to assume( compare ) the value. In the formula a is common in both, we can get a( compared value ) in the question by mean / average method.

a = $\dfrac{66+74}{2} = \dfrac{140}{2} = 70$

Therefore, if we split 66 and 74, one number will be 70.

66 = 70 - 4

74 = 70 + 4

Now,

( 66 ) × ( 74 )

( 70 - 4 ) × ( 70 + 4 )

By the method given above.

( 70 )^2 - ( 4 )^2

4900 - 16

4884.

∴ 66 × 74 = 4884

$\:$

Answer 2

Step-by-step explanation:

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