Question

Factorise : y⁴ + 4y² - 32.
Plz answer fast with explanation.

Answer 1

Hi ,

y^4 + 4y² -32

= [( y² )² + 2 × y² × 2 + 2² ] - 32 - 2² 

= [ y² + 2 ]² - 36

= ( y² + 2 ) ² - 6²

= ( y² + 2 + 6 ) ( y² + 2 - 6 ) 

= ( y² + 8 ) ( y² - 4 )

= ( y² + 8 ) ( y² - 2² )

= ( y² + 8 ) ( y + 2 ) ( y - 2 ) 

I hope this helps you .

: ) 

Answer 2

Answer:

(y+2) (y-2) (y²+8)

Step-by-step explanation:

y⁴+4y²-32

y⁴+(8-4)y²-32

y⁴+8y²-4y²-32

y²(y²+8)-4(y²+8)

(y²-4) (y²+8)

(y²-2²) (y²+8)

(y+2) (y-2) (y²+8) Answer