Question

Please answer this question​

Answer 1

(i) 4x^2 - 16y^2

= (2x)^2 - (4y)^2

= (2x+4y)(2x-4y)

(ii) 9x^2 - y^2

= (3x)^2 - (y)^2

= (3x+y)(3x-y)

(iii) 81a^2 - 289b^2

= (9a)^2 - (17b)^2

= (9a+17b)(9a-17b)

(iv) (a-b)^2 - a^2

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

= (a-b+a)(a-b-a)

= (2a-b)(b)

= b(2a-b)

Answer 2

Step-by-step explanation:

#FORMULA USED

a² - b² = (a + b)(a - b)

(i) 4x² - 16y²

= (2x)² - (4y)²

= (2x + 4y) (2x - 4y)

(ii) 9x² - y²

= (3x)² - y²

= (3x + y) (3x - y)

(iii) 81a² - 289b²

= (9a)² - (17b)²

= (9a + 17b) (9a - 17b)

(iv) (a - b)² - a²

= (a - b + a) (a - b - a)

= (2a - b) (-b)

= -b(2a - b)

= -2ab + b²

= b² - 2ab

HOPE IT HELPS YOU DEAR.

THANKS

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