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Find the following products without multiplying …

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Find the following products without multiplying directly

Posted by Dhananjay Singh 6 years, 4 months ago

CBSE > Class 09 > Mathematics

1 answers

Sia ? 6 years, 4 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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Posted by Yash Pandey 6 months, 1 week ago

CBSE > Class 09 > Mathematics

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Don't post personal information, mobile numbers and other details.
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Remember the goal of this website is to share knowledge and learn from each other. Ask questions and help others by answering questions.

Posted by Sheikh Alfaz 1 month, 2 weeks ago

CBSE > Class 09 > Mathematics