Homework Soursex 272 4x 232Solutionx272 4x 232 x272 x232x242 Take out x23
(x 2)7/2 4(x 2)3/2
Solution
(x-2)^(7/2) - 4(x -2)^(3/2)
(x-2)^7/2 = (x-2)^3/2*(x-2)^4/2
Take out (x-2)^3/2 as commmon factor:
(x-2)^(3/2)[(x -2)^4/2 - 4 ]
(x-2)^3/2[ (x-2)^2 -4]
(x-2)^3/2[ x^2 +4 + 4x -4]
(x-2)^3/2[ x^2+4x]
(x-2)^3/2x(x+2)
x(x-2)^3/2(x+2)
![(x 2)7/2 4(x 2)3/2Solution(x-2)^(7/2) - 4(x -2)^(3/2) (x-2)^7/2 = (x-2)^3/2*(x-2)^4/2 Take out (x-2)^3/2 as commmon factor: (x-2)^(3/2)[(x -2)^4/2 - 4 ] (x-2)^3](/WebImages/32/x-272-4x-232solutionx272-4x-232-x272-x232x242-take-out-x23-1093474-1761576139-0.webp "(x 2)7/2 4(x 2)3/2Solution(x-2)^(7/2) - 4(x -2)^(3/2) (x-2)^7/2 = (x-2)^3/2*(x-2)^4/2 Take out (x-2)^3/2 as commmon factor: (x-2)^(3/2)[(x -2)^4/2 - 4 ] (x-2)^3")
