Factories: (3x – 4y) 2 – 25z 2

Question

Factories: (3x &#x2013; 4y) 2 &#x2013; 25z 2

Philoid · Accepted Answer

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)