Question

25(x+y)^2-(2x+y)^2 factirize​

Answer 1

Answer:

(3x+4y)×(7x+6y)

Step-by-step explanation:

25(x+y)^2-(2x+y)^2

using a^2-b^2= (a-b)(a+b)

=(5(x+y)-(2x+y))×(5(x+y)+(2x+y))

remove brackets

=(5x+5y-2x-y)×(5x+5y+2x+y)

collect like terms

=(3x+4y)×(7x+6y)

Answer 2

Answer:

⇢ (7x + 6y) (3x + 4y)

Step-by-step explanation:

Given:-

⇢ 25(x + y)² - (2x + y)².

Find:-

⇢ Factories the given expression.

Calculations:-

⇢ 25(x + y)² - (2x + y)²

⇢ 21x² + 46xy + 24y²

⇢ (7x + 6y) (3x + 4y)

Therefore, this is the required answer.