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Posted by Dhananjay Singh 5 years, 3 months ago
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Sia ? 5 years, 3 months ago
{tex}95 \times 96{/tex}
{tex}95 \times 96{\text{ can also be written as}}\left( {100 - 5} \right)\left( {100 - 4} \right){/tex} We can observe that we can apply the identity {tex}\left( {x + a} \right)\left( {x + b} \right) = {x^2} + \left( {a + b} \right)x + ab{/tex}
Here a = -5 and b = -4
{tex}\left( {100 - 5} \right)\left( {100 - 4} \right) = {\left( {100} \right)^2} + \left[ {\left( { - 5} \right) + \left( { - 4} \right)} \right]\left( {100} \right) + \left( { - 5} \right) \times \left( { - 4} \right){/tex}
{tex}= 10000 - 900 + 20{/tex}
= 9120 Therefore, we conclude that the value of the product {tex}95 \times 96{/tex} is 9120
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