Question

105x95 evaluate using proper algebraic identity

Answer 1

105 x 95

(100+5)(100-5)

100square - 5square                                        {(a+b)(a-b) =A square  - B square}

10000 - 25

9975 is the answer

Answer 2

105 × 95 = 9975

Given : 105 × 95

To find : The value using proper algebraic identity

Formula : a² - b² = ( a + b ) ( a - b )

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is 105 × 95

Step 2 of 2 :

Use the identity a² - b² = ( a + b ) ( a - b )

$\sf 105 \times 95$

$\sf = (100 + 5) \times (100 - 5)$

$\sf = {100}^{2} - {5}^{2}$

$\sf = 10000 - 25$

$\sf = 9975$

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