Question

25x^2-(2a-3b)^2 ,factorise​

Answer 1

Answer:

Answer =

$(5x - 2a + 3b)(5x + 2a - 3b)$

Step-by-step explanation:

Here

$25 {x}^{2} - {(2a - 3b)}^{2} \\ {(5x)}^{2} - {(2a - 3b)}^{2}$

Using identity

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

We get

=[5x - (2a-3b)][5x+(2a-3b)]

=[5x-2a+3b][5x+2a-3b]

Answer 2

Answer:

Question :-

➠ 25x² - (2a - 3b)²

Formula used :-

➪ a² - b²

➭ (a + b) (a - b)

Answer :-

➠ 25x² - (2a - 3b)²

➻ (5x)² - (2a - 3b)²

➻{5x + (2a - 3b)} {5x - (2a - 3b)}

➻(5x + 2a - 3b) (5x - 2a + 3b)

∴ The value of 25x² - (2a - 3b)² is (5x + 2a - 3b) (5x - 2a + 3b)