Question

Factorize the expression x(x – 2) (x – 4) + 4x – 8​

Answer 1

Answer:

(x-2)(x-2)(x-2)

Step-by-step explanation:

x(x – 2) (x – 4) + 4x – 8​

= x(x – 2) (x – 4) + 4(x – 2)

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

= (x-2)(x²-4x+4)

= (x-2)(x² - 2(x)(2) + 2²)

= (x-2)(x-2)²

= (x-2)(x-2)(x-2)

Answer 2

Answer:

x ( x - 2 ) ( x - 4 ) + 4x - 8

⇒x ( x - 2 ) ( x - 4 ) + 4 ( x - 2 )

   Taking x - 2 as common on both the side

⇒ ( x - 2 ) { x ( x - 4) + 4 }

⇒ ( x - 2 ) { x² - 4x + 4 }

⇒ ( x - 2 ) { x² - 2x - 2x + 4 }

⇒ ( x - 2 ) { x ( x - 2 ) - 2 ( x - 2 ) }

⇒ ( x - 2 ) { ( x - 2 ) ( x - 2 )}

⇒ ( x - 2 ) ( x - 2 ) ( x - 2 )

Hope this answer helps you