5. Factorise : 125x
3
– 27y
3
+ z
3
+ 45xyz
moulik46:
write the question properly
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Hi,
125x³ - 27y³ + z³ + 45xyz
= ( 5x )³ + ( - 3y )³ + z³ + 3 ( 5x )( -3y )z
=(5x-3y+z)[(5x)²+(-3y)²+z²-5x(-3y)-(-3y)z-z(5x)]
=(5x-3y+z)[25x²+9y²+z²+15xy+3yz-5xz]
I hope this helps you.
: )
125x³ - 27y³ + z³ + 45xyz
= ( 5x )³ + ( - 3y )³ + z³ + 3 ( 5x )( -3y )z
=(5x-3y+z)[(5x)²+(-3y)²+z²-5x(-3y)-(-3y)z-z(5x)]
=(5x-3y+z)[25x²+9y²+z²+15xy+3yz-5xz]
I hope this helps you.
: )
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