Q21 of 137 Page 100

Factories:

(3x – 4y)2 – 25z2

Given,


(3x – 4y)2 – 25z2


= (3x – 4y)2 – (5z)2


By using the formula a2 – b2 = (a + b)(a – b)


We get,


(3x – 4y)2 – 25z2 = (3x – 4y)2 – (5z)2


={(3x – 4y) + 5z}{(3x – 4y) – 5z}


= (3x – 4y + 5z)(3x – 4y – 5z)


More from this chapter

All 137 →
19

Factories:

(2x + 5y)2 – 1

 20

Factories:

36c2 – (5a + b)2

 22

Factories:

x2 – y2 – 2y – 1

 23

Factories:

25 – a2 – b2 – 2ab