Solve {c}{text{Suma}}{(x^2-3x+5)+(2x^2-7x-4)}

$$\left. \begin{array} { c } { \text { Suma } } \\ { ( x ^ { 2 } - 3 x + 5 ) + ( 2 x ^ { 2 } - 7 x - 4 ) } \end{array} \right.$$

Least Common Multiple

$$\frac{a\left(\left(3x-5\right)^{2}-22\right)}{3}$$

Solution Steps

Factor the expressions that are not already factored.

$$3x^{2}-10x+1=3\left(x-\left(-\frac{1}{3}\sqrt{22}+\frac{5}{3}\right)\right)\left(x-\left(\frac{1}{3}\sqrt{22}+\frac{5}{3}\right)\right)$$

Identify all the factors and their highest power in all expressions. Multiply the highest powers of these factors to get the least common multiple.

$$3a\left(x-\frac{5-\sqrt{22}}{3}\right)\left(x-\frac{\sqrt{22}+5}{3}\right)$$

Expand the expression.

$$3ax^{2}-10ax+a$$

Evaluate

$$a,\ 3x^{2}-10x+1$$