Question

104 *96 using algebric indentities​

Answer 1

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$104 \times 96$

$(100 + 4)(100 - 4)$

using Identity

${x}^{2} - {y}^{2} = (x + y)(x - y)$

${100}^{2} - {4}^{2}$

$10000 - 16$

$984$

Answer 2

Step-by-step explanation:

$\bold{\blue{We \: can \: write \: 104 \: as \: (100 + 4)}} \\ \bold{\blue{And, \: \: \:96 \: as \: (100 - 4)}} \\ \bold{\blue{then, }} \: \\ \bold{\blue{a = 100 \: and \: b \: = 4}} \\ \bold{\blue{By \: using \: identiy(a + b)(a - b ) = {a}^{2} - {b}^{2}}} \\ \\ \bold\blue{So, } \\ \bold\blue{104 \times 96 = (100 + 4)(100 - 4)} \\ \: \: \: \: \bold\blue{= {100}^{2} - {4}^{2}} \\ \: \: \: \: \: \bold\blue{= 10000 - 16} \\ \: \: \: \: \: \: \bold\blue{= 9984}\\ \\ \\\bold\blue{Hence, \boxed{104 \times 96=9984} }$