factorise 125x³-27y³+z³+45xyz
Answers
Answered by
7
here is ur answer hope you like it
Attachments:
Answered by
6
125x³-27y³+z³+45xyz
=(5x)³+(-3y)³+(z)³-3(5x)(-3y)(z)
=(5x-3y+z)[(5x)²+(-3y)²+(z)²-(5x)(-3y)-(-3y)(z)-(z)(5x)]
=(5x-3y+z)(25x²+9y²+z²+15xy+3yz-5xz)
using by
a³+b³+c³-3abc
=(a+b+c)(a²+b²+c²-ab-bc-ca)
=(5x)³+(-3y)³+(z)³-3(5x)(-3y)(z)
=(5x-3y+z)[(5x)²+(-3y)²+(z)²-(5x)(-3y)-(-3y)(z)-(z)(5x)]
=(5x-3y+z)(25x²+9y²+z²+15xy+3yz-5xz)
using by
a³+b³+c³-3abc
=(a+b+c)(a²+b²+c²-ab-bc-ca)
Similar questions