Factorize the expression x(x – 2) (x – 4) + 4x – 8
Answers
Answered by
3
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)
Answered by
0
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
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