Question

Evaluate the following products without multiplying directly:
(i) 103 x 107
i 95 x 96
Cortice the following contaidostiti.​

Answer 1

Answer:

11021

(100+3)(100+7).

=(100) 2 +(3+7)(100)+(3)(7)

=10000+1000+21=11021

Answer 2

Answer:

11021 and 9120

Step-by-step explanation:

A

$103 \times 107 \\ = (100 + 3)(100 + 7) \\ = {100}^{2} + (7 + 3)100 + (3 \times 7) \\ = 10000 + 1000 + 21 \\ = 11021$

B

$95 \times 96 \\ = (100 - 5)(100 - 4) \\ = {1 00 }^{2} - (5 + 4)100 + (5 \times 4) \\ = 10000 - 900 + 20 \\ 9120$