Factories: (x – 2y) 2 + 4x – 8y

Question

Factories: (x &#x2013; 2y) 2 + 4x &#x2013; 8y

Philoid · Accepted Answer

(x – 2y)² + 4x – 8y

= (x – 2y)² + 4(x – 2y)

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

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

= (x – 2y)(x – 2y + 4)

So we get,

(x – 2y)² + 4x – 8y = = (x – 2y)(x – 2y + 4)