Question

FACTORIZE 3X​4-243 ?

Answer 1

Given:

3x​⁴-243

To Find:

Factorize: 3x​⁴-243

Solution:

Given,

3x​⁴-243

take 3 common

⇒ 3 ( x​⁴- 81 )

⇒ 3 [ (x²)² - 9² ]

a² - b² = ( a+b) . (a-b)

⇒ 3 [ (x² - 9) ( x² + 9)

a² - b² = ( a+b) . (a-b)

⇒ 3.  ( x² + 9) .(x² - 3²)

⇒ 3. ( x² + 9) . (x -3) .(x + 3)

Hence, the answer is 3.( x² + 9) . (x -3) .(x + 3).

Answer 2

ANSWER: 3(x²+9)(x+3)(x-3)

STEP BY STEP EXPLAINATION:

3(x⁴-81)

3[(x²)²-9²]

3(x²+9)(x²-9)

3(x²+9)(x+3)(x-3)ANS