1.

Eva​

Answer»

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


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