Question

0-10Compute the following without multiplying directly: (a) 98x102 (b) 103x107
(c) 104 x 96​

Answer 1

Step-by-step explanation:

a. (100-2)*(100+2) = 100^2 - 2^2 = 10000-4 = 9996

b. (105-2)(105+2) = 105^2 - 2^2 =

11025 -4 = 11021

c. (100+4)*(100-4) = 100^2 - 4^2=

10000-16 = 9984

Answer 2

Step-by-step explanation:

Use formula :-

• ( a + b) ( a - b) = a² - b²

(a) 98 × 102

→ (100 + 2) (100-2)

→ (100)² - (2)²

→ 10,000 - 4

→ 9,996

• 98 × 102 = 9,996

(b) 103 × 107

→ (105 + 2) (105 - 2)

→ (105)² - (2)²

→ 11,025 - 4

→ 11,021

• 103 × 107 = 11,021

(c) 104 × 96

→ (100 + 4) (100 - 4)

→ (100)² - (4)²

→ 10,000 - 16

→ 9,984

• 104 × 96 = 9,984