Question

factorise 4x^4-x^2-12x-36 step by step explanation​

Answer 1

Step-by-step explanation:

Let p( x ) = 4x⁴ - x² - 12x - 36

= 4x⁴ - ( x² + 12x + 36 )

= 4x⁴ - [ x² + 2 × x × 6 + 6² ]

= ( 2x² )² - ( x + 6 )²

= [ 2x² + ( x + 6 ) ][ 2x² - ( x + 6 ) ]

= ( 2x² + x + 6 )( 2x² - x - 6 )

= ( 2x² + x + 6 )[ 2x² - 4x + 3x - 6 ]

= ( 2x² + x + 6 ) [ 2x( x - 2 ) + 3( x - 2 )]

= ( 2x² + x + 6 )( x - 2 )( 2x + 3 )

I hope this helps you.

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