Question

factorise (3x+5y)²-4z²​

Answer 1

Answer:

(3x+5y-2z)(3x+5y+2z)

Step-by-step explanation:

using

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

here

$a = 3x + 5y \\ b = 2z \\ therefore \\ (3x + 5y) {}^{2} - {2z}^{2} = (3x + 5y - 2z)(3x + 5y + 2z)$

Answer 2

Answer:

Here, we are given two terms :-

(3x + 5y)² and 4z²

4z² = (2z)²

Now, we can use the identity

a² - b² = (a + b)(a - b)

Taking (3x + 5y) as a² and (2z)² as b², we get

(3x + 5y)² - 4z²

= (3x + 5y)² - (2z)²

= (3x + 5y + 2z)(3x + 5y - 2z)

Hence, your answer is

(3x + 5y + 2z)(3x + 5y - 2z)

Step-by-step explanation:

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