Question

Evaluate using suitable identity 94*96

Answer 1

Answer:

9,024

Step-by-step explanation:

In the attachment.. Hope it's helpful..

Answer 2

94 × 96 = 9024

Given :

The expression 94 × 96

To find :

Simplify the expression using suitable identity

Identity Used :

a² - b² = ( a + b ) ( a - b )

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

94 × 96

Step 2 of 2 :

Simplify the given expression

We are aware of the algebraic identity that

a² - b² = ( a + b ) ( a - b )

Thus we get

$\displaystyle \sf{94 \times 96 }$

$\displaystyle \sf{ = 96 \times 94 }$

$\displaystyle \sf{ =( 95 + 1) \times (95 - 1) }$

$\displaystyle \sf{ = {(95)}^{2} - {(1)}^{2} }$

$\displaystyle \sf{ =9025 - 1 }$

$\displaystyle \sf{ =9024}$

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