Question

103 × 107
$103 × 107$
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Answer 1

$\mathtt\purple{Hello \:  Mate!}$

$\huge\underline{ \mathbb\red{✨A} \green{n} \mathbb\blue{S} \purple{w} \mathbb \orange{E} \pink{r}} \:$

$\bf \huge \pink{Here}$

$\mathsf{103 \times 107 = }$

$\mathsf{(100 + 3) \times (100 + 7)}$

$\mathsf{(100) ^{2} + (3 + 7)100 + (3)(7)}$

$\tt \purple{By \: Using \: Identity \: 6}$

$\sf{10000 + 1000 + 21 = 11021}$

$\tt \huge \red{Aliter}$

$\sf{103 \times 107 = (105 - 2) \times }$

$\sf{(105 + 2)} \\ = (105) ^{2} - (2) ^{2}$

$\tt \green{By \: Using \: Identity \: 3}$

$\sf{ = (100 + 5) ^{2} - 4 } \\ = \sf{(100) ^{2} + 2(100)(5) + ( {5}^{2} ) - 4}$

$\tt \blue{By \: Using \: Identity \: 1}$

$\sf{10000 + 1000 + 25 - 4 = 11021}$

Hopes it help you✨✨