Evaluate 106 - 94- using an appropriate algebraic identity-

The correct option is C 9964106 × 94 can be written as (100 + 6) × (100 6) By applying the identity: (a + b)(a b) = a^2 b^2 106 × 94 =(100 + 6) × (100 ...

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Standard VIII

Mathematics

Cube Numbers

Evaluate 106 ...

Question

Evaluate $106 \times 94$ , using an appropriate algebraic identity.

9964

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Solution

The correct option is A 9964
$106 \times 94$ can be written as $(100 + 6) \times (100 - 6)$

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

$106 \times 94 =$ $(100 + 6) \times (100 - 6)$
$= 100^{2} - 6^{2} = 10000 - 36$
$= 9964$

Suggest Corrections

Evaluate 106×94, using an appropriate algebraic identity.

The correct option is A 9964106×94 can be written as (100+6)×(100−6) By applying the identity: (a+b)(a−b)=a2−b2 106×94=(100+6)×(100−6) =1002−62=10000−36 =9964

Evaluate $106 \times 94$ , using an appropriate algebraic identity.

The correct option is A 9964
$106 \times 94$ can be written as $(100 + 6) \times (100 - 6)$

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

$106 \times 94 =$ $(100 + 6) \times (100 - 6)$
$= 100^{2} - 6^{2} = 10000 - 36$
$= 9964$