Question

simplify using suitable Identity (2x+3)² - (2x-3)²
pls answer its urgent​

Answer 1

Solution!!

→ (2x + 3)² - (2x - 3)²

The identity is → (a + b)² - (a - b)² = 4ab

Comparing this identity, we get

a = 2x

a = 2xb = 3

Simplifying using the identity, we get

(2x + 3)² - (2x - 3)² = 4(2x)(3)

(2x + 3)² - (2x - 3)² = 24x

More identities:-

→ (a + b)² = a² + b² + 2ab

→ (a - b)² = a ² + b² - 2ab

→ (a + b)² + (a - b)² = 2(a² + b²)

→ (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)

→ (a + b)(a - b) = a² - b²

Note:- If you haven't memorized these identities, do it now ASAP.

Answer 2

(2x+3)² - (2x-3)²

we know (a+b)²-(a-b)²=4ab

using this identify we get

(2x+3)² - (2x-3)² = 4×(2x) ×(3) =24x