Question

25 (a+b) ?- (a - b)²​

Answer 1

Answer:

Here is your answer:

? = ² i.e. pow2

Step-by-step explanation:

25{(a+b)²-(a-b)²}= 25

》value of ? is 2

Answer 2

Answer:

(a + b)² - (a - b)² = 4ab

Note:

★ (a + b)² = a² + 2ab + b²

★ (a - b)² = a² - 2ab + b²

★ a² - b² = (a + b)(a - b)

★ (a + b)³ = a³ + b³ + 3ab(a + b)

★ (a - b)³ = a³ - b³ - 3ab(a - b)

★ a³ + b³ = (a + b)(a² - ab + b²)

★ a³ - b³ = (a - b)(a² + ab + b²)

Solution:

We need to find the expression for

(a + b)² - (a - b)²

Thus,

(a + b)² - (a - b)²

= (a² + 2ab + b²) - (a² - 2ab + b²)

= a² + 2ab + b² - a² + 2ab - b²

= 2ab + 2ab

= 4ab

Hence,

(a + b)² - (a - b)² = 4ab