Gujarat BoardEnglish MediumSTD 9MathsPolynomials2 Marks
Question
Evaluate the product without multiplying directly: $104 \times 96$
✓
Answer
$104 \times 96$
$104 \times 96{\text{ can also be written as}}\left( {100 + 4} \right)\left( {100 - 4} \right).$ We can observe that, we can apply the identity $\left( {x + y} \right)\left( {x - y} \right) = {x^2} - {y^2}$ with respect to the expression $\left( {100 + 4} \right)\left( {100 - 4} \right)$,to get
$\left( {100 + 4} \right)\left( {100 - 4} \right) = {\left( {100} \right)^2} - {\left( 4 \right)^2}$ $= 10000 - 16$
$= 9984$
Therefore, we conclude that the value of the product $104 \times 96 $ is $9984$
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