Using identities, evaluate 95*105

Karlee Rivas

Karlee Rivas

Answered question

2023-03-14

Using identities, evaluate 95 × 105

Answer & Explanation

Giovanna Shaw

Giovanna Shaw

Beginner2023-03-15Added 3 answers

95 can be expressed as 100 - 5 and 105 as 100 + 5.
95 × 105 = ( 100 5 ) × ( 100 + 5 ) which is in the form ( a b ) ( a + b ) where a = 100 and b = 5.
We know that, ( a b ) ( a + b ) = a 2 b 2 95 × 105 = ( 100 5 ) ( 100 + 5 ) = 100 2 5 2 = 10000 25 = 9975

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