Question

Factorize (i) 49(x-y)^2 – 25(x+y)^2
(ii) x^2
-y^2
-x-y

plz give me answer
solve it plz​

Answer 1

Answer:

4(6x - y)(x - 6y)

Step-by-step explanation:

49(x - y)² - 25(x + y)²

• 49 = (7)²

• 25 = 5²

→ [7(x - y)]² - [5(x+y)]²

• a² - b² = (a + b)(a - b)

→ [7(x - y)+ 5(x + y)][7(x - y) - 5(x + y)]

• 7(x - y) = 7x - 7y

• 5(x + y) = 5x + 5y

→ (7x - 7y+ 5x + 5y)(7x - 7y - 5x - 5y)

Grouping Like terms,

→ (7x + 5x + 5y - 7y)(7x - 5x - 7y - 5y)

→ (12x - 2y)(2x - 12y)

• 12x - 2y = 2(6x - y)

• 2x - 12y = 2(x - 6y)

→ (12x - 2y)(2x - 12y)

→ 2(6x - y)2(x - 6y)

→ 4(6x - y)(x - 6y)

Answer 2

ANSWER TO (i) in attachment