1. Find Reduced Term of `(x^2-9)/(x^3-27)`
Solution:
`=(x^2-9)/(x^3-27)`
`=((x-3)(x+3))/((x-3)(x^2+3x+9))`
Now cancel the common factor `(x-3)`
`=(x+3)/(x^2+3x+9)`
2. Find Reduced Term of `(8x^3+1)/(2x+1)`
Solution:
`=(8x^3+1)/(2x+1)`
`=((2x+1)(4x^2-2x+1))/(2x+1)`
Now cancel the common factor `(2x+1)`
`=(4x^2-2x+1)`
3. Find Reduced Term of `(x^2+3x+2)/(x^2+4x+3)`
Solution:
`=(x^2+3x+2)/(x^2+4x+3)`
`=((x+1)(x+2))/((x+1)(x+3))`
Now cancel the common factor `(x+1)`
`=(x+2)/(x+3)`
4. Find Reduced Term of `(x^2-x-6)/(x^2-5x+6)`
Solution:
`=(x^2-x-6)/(x^2-5x+6)`
`=((x+2)(x-3))/((x-2)(x-3))`
Now cancel the common factor `(x-3)`
`=(x+2)/(x-2)`
5. Find Reduced Term of `(2x^2+5x+3)/(x^2-1)`
Solution:
`=(2x^2+5x+3)/(x^2-1)`
`=((2x+3)(x+1))/((x-1)(x+1))`
Now cancel the common factor `(x+1)`
`=(2x+3)/(x-1)`
6. Find Reduced Term of `(x^6-64)/(x^4-16)`
Solution:
`=(x^6-64)/(x^4-16)`
`=((x-2)(x^2+2x+4)(x+2)(x^2-2x+4))/((x-2)(x+2)(x^2+4))`
Now cancel the common factor `(x-2)(x+2)`
`=((x^2+2x+4)(x^2-2x+4))/(x^2+4)`
This material is intended as a summary. Use your textbook for detail explanation.
Any bug, improvement, feedback then
