Example

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

Question

$$( 3 x ^ { 2 } - 27 x + 60 ) \div ( x - 4 )$$

Answer

$$3*Ev*e*a^2*l*u*t*(x-5)$$

Solution


Factor out the common term \(3\).
\[Evaluate\times \frac{3({x}^{2}-9x+20)}{x-4}\]
Factor \({x}^{2}-9x+20\).
\[Evaluate\times \frac{3(x-5)(x-4)}{x-4}\]
Cancel \(x-4\).
\[Evaluate\times 3(x-5)\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[Ev{a}^{2}lute\times 3(x-5)\]
Regroup terms.
\[3Eve{a}^{2}lut(x-5)\]
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