3. Using (x + a) (x + b) =
2+ (a + b) x + ab, find
a) 103×104 b) 103×98
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Step-by-step explanation:
a) 103 × 104
= (100+3)(100+4)
using (x+a) (x+b) = x2 + (a+b) x + ab
100^2 + (3 + 4)100 + 3×4
= 10,000 + 700 + 12
= 10712
b) 103×98
= (95+8)(95+3)
using (x+a) (x+b) = x2 + (a+b) x + ab
95^2 + (8+3)95 + 8×3
= 9,025 + 1,045 + 24
= 10,094
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