When simplifying 4x^3-10x^2+6x over 2x^3+x^2-3x, what are the term(s) that can be cancelled

Cancelling x and (2x-3), we get, the simplest form as

Step-by-step explanation:

Consider the given two expressions and .

We solve both expressions seperately,

Consider the first expression

Taking x common from the expression,

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

-10x can be written as -4x-6x , we get,

Consider the second term ,

Taking x common from the expression we have,

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

x can be written as 3x-2x

Thus,

Our expression is over  

is

Cancelling same terms from numerator and denominator , thus cancelling x and (2x-3), we get, the simplest form as

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