Question

eva
$evaluate \: = 105 \times 95) + (96 \times 104)$
​

Answer 1

Answer:

19,959

Step-by-step explanation:

Given :

To evauate :

(105 × 95) + (96 × 104)

Solution :

We know that,

(a + b)(a - b) = a² - b²

⇒ (105 × 95) + (96 × 104)

⇒ ( [100 + 5] × [100 - 5] ) + ( [100 - 4] × [100 + 4] )

⇒ (100² - 5²) + (100² - 4²)

⇒ 100² + 100² - 5² - 4²

⇒ 10,000 + 10,000 - 25 - 16

⇒ 20,000 - 41

⇒ 19,959