Question

the value of (249 )power 2 - (248) ki power 2

Answer 1

Question:

• To find value of 249² - 248²

Solution:

We know that ,

$\red\bigstar\;\boxed{\sf a^2-b^2=(a+b)(a-b)}$

Here,

• a = 249
• b = 248

Putting the values,

$\longmapsto 249^2 - 248^2 \\\\\dashrightarrow (249+248)(249-248)\\\\\dashrightarrow (497)(1)\\\\\dashrightarrow \pink{497 }$

More to know :

• (a+b)² = a² + b² + 2ab

• (a-b)² = a² + b² - 2ab
• a² - b² = (a+b)(a-b)

• a²+b² = (a+b)² -2ab = (a-b)²+2ab
• (a+b)² +(a-b)² = 2(a²+b²)
• (a+b)² -(a-b)² = 4ab