Simplify a^2-3a over a^3-8a^2+12a to lowest terms

Thus, the simplest form of is

Step-by-step explanation:

Given two expression

 and

We first solve each expression seperately,

Consider the first expression

Taking a common from both the terms, we get

Consider the second expression  

First take a common from the expression, we get

The term in brackets is a quadratic equation , we can solve quadratic by middle term splitting method,

Consider  

-8a can be written as -6a-2a

Thus, the given expression over   can be written as,

Thus,

'a' gets cancel from both numerator and denominator ,

We get

Thus, the simplest form of is

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step-by-step explanation: