Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$(4x^{4}-6x^{3}-12x+12)\div(4x-6)$$

Answer

$$(2*x^4-3*x^3-6*x+6)/(2*x-3)$$

Solution


Factor out the common term \(2\).
\[\frac{2(2{x}^{4}-3{x}^{3}-6x+6)}{4x-6}\]
Factor out the common term \(2\).
\[\frac{2(2{x}^{4}-3{x}^{3}-6x+6)}{2(2x-3)}\]
Cancel \(2\).
\[\frac{2{x}^{4}-3{x}^{3}-6x+6}{2x-3}\]
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