Question

Factorize 4a²-1
with explaination please..​

Answer 1

Answer:

4a²-1 = (2a - 1) (2a + 1)

Step-by-step explanation:

Formula : $a^2 - b^2 = (a - b) (a +b)$

4a²-1

Write this in a² - b² format

= (2a)² - (1)²

= (2a - 1) (2a + 1)

So,  4a²-1 = (2a - 1) (2a + 1)

Answer 2

$= 4 {a}^{2} - 1$

${a}^{2} - {b}^{2} = (a + b)(a - b)$

$= (2a - 1)(2a + 1)$

$= 2 {a}^{2} - {1}^{2}$

$4 {a}^{2} - 1 = (2a + 1)(2a - 1)$