8(x+y)^3-2(x+y) factorise the following
Answers
Answered by
2
8(x + y)³ - 2(x + y)
= {2(x + y)}³ - 2(x + y)
=2(x + y).2²(x + y)² - 2(x + y)
take 2(x + y) common
= 2(x + y){2²(x + y)² - 1}
=2(x + y)(4(x² + y² + 2xy) -1 }
= 2(x + y)(4x² + 4y² + 8xy -1 }
hence, 2, (x + y) and (4x² + 4y² + 8xy -1) are factors of given expression.
= {2(x + y)}³ - 2(x + y)
=2(x + y).2²(x + y)² - 2(x + y)
take 2(x + y) common
= 2(x + y){2²(x + y)² - 1}
=2(x + y)(4(x² + y² + 2xy) -1 }
= 2(x + y)(4x² + 4y² + 8xy -1 }
hence, 2, (x + y) and (4x² + 4y² + 8xy -1) are factors of given expression.
Similar questions