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)`

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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)`

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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)`

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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)`

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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)`

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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)`

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