Question

What is 4b² - 49 .....................................

Answer 1

Question :-

Factorise 4b² - 49.

Solution :-

$\sf\implies {4b}^{2} - 49$

$\sf\implies {(2b)}^{2} - {7}^{2}$

$\sf\implies (2b + 7)(2b - 7)$

Here, Identity used :

• a² - b² = (a + b)(a - b)

More identities :

• (a + b)² = a² + b² + 2ab
• (a - b)² = a² + b² - 2ab
• (a + b + c)² = a² + b² + c² + 2(ab + bc + ca)
• (a - b - c)² = a² + b² + c² - 2(ab + bc - ca)
• (a + b)³ = a³ + b³ + 3ab(a + b)
• (a - b)³ = a³ - b³ - 3ab(a - b)
• a³ - b³ = (a + b)(a² + b² + 2ab)
• a³ + b³ = (a + b)(a² + b² - 2ab)

Answer 2

Answer:

4b^2 - 49

(2b)^2 - (7)^2

(2b + 7) ( 2b - 7)