Using an identity- evaluate 166 - 94-

To evaluate : 166 × 94 The nbsp;average of 166 and 94 =166+94/2 = nbsp;130 Hence, 166 × 94 can be written as (130 + 36)(130 36). nbsp; By applying t ...

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Standard XII

Chemistry

Heat Capacity

Using an iden...

Question

$Using an identity, evaluate 166 \times 94.$

14562

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15604

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Solution

The correct option is B
15604

$To evaluate : 166 \times 94$

The average of 166 and 94
$= \frac{166 + 94}{2} = 130$

$Hence, 166 \times 94 can be written as$
$(130 + 36) (130 - 36) .$

By applying the identity $(a + b) (a - b) = a^{2} - b^{2},$

$166 \times 94 = (130 + 36) (130 - 36)$
$= 130^{2} - 36^{2} = 16900 - 1296 = 15604$

Suggest Corrections

Using an identity, evaluate 166×94.

The correct option is B 15604 To evaluate : 166× 94 The average of 166 and 94 =166+942=130 Hence, 166× 94 can be written as (130+36)(130−36). By applying the identity (a+b)(a−b)=a2−b2, 166×94=(130+36)(130−36) =1302−362=16900−1296=15604

$Using an identity, evaluate 166 \times 94.$