Question

WRITE THE SQUARE OF 7n+3

[7n+3]² = ?

Answer 1

Step-by-step explanation:

[7n+3]² = ?

Using Formula,

(a+b)² = a² + b² + 2ab

a = 7n

b = 3

(7n+3)²

(7n)² + 3² + 2×7n×3

49n² + 9 + 42n

(7n+3)² = 49n² + 42n + 9

Answer 2

★ Solution :-

Using the identity , (a+b)² = a² + b² + 2ab

→ [7n + 3]²

→ (7n)² + (3)² + 2(7n)(3)

→ (7)²n² + 9 + 14n(3)

→ 49n² + 9 + 42n

Hence , [7n + 3]² = 49n² + 9 + 42n .

★ More identities :-

• (a + b)² = a² + b² + 2ab
• (a - b)² = a² + b² - 2ab
• (a + b)³ = a³ + 3a²b + 3ab² + b³ (or) a³ + b³ + 3ab(a + b)
• (a + b)(a - b) = a² - b²