Question

I want to know that how to apply property (x+a) (x+b)

Answer 1

103.107=(100+3)107
10700+321. =11021
95. 96=5.4=20
(95-4)= 9120

Answer 2

i)
$103 \times 107 \\ = (100 + 3)(100 + 7) \\ = (100) {}^{2} + (3 + 7)100 + 3 \times 7 \\ = 10000 + 1000 + 20 \\ = 11021$
ii)
$95 \times 96 \\ = (100 - 5)(100 - 4) \\ = (100) {}^{2} - (5 + 4)100 - 5 \times - 4 \\ = 10000 - 900 + 20 \\ = 9120$
iii)
$104 \times 96 \\ = (100 + 4)(100 - 4) \\ = ( 100) {}^{2} -( 4) {}^{2} \\ = 10000 - 16 \\ = 9984$