Question

Plzz tell 18th one Please tell how to solve it Please tell

Answer 1

Step-by-step explanation:

Since, α & β are the roots of equation ax²+bx+c=0, then we have

$(\alpha + \beta ) = - \frac{b}{a} \: \: and \: \: \alpha \beta = \frac{c}{a}$

Fron the given expression , we have,

$\alpha { \beta }^{2} + { \alpha }^{2} \beta + \alpha \beta$

taking αβ common from α²β+αβ²+αβ, we get,

$= \alpha \beta ( \beta + \alpha + 1)$

Substituting the values, we get,

$\frac{c}{a} ( - \frac{b}{a} + 1)$

$= \frac{c}{a} ( \frac{ - b + a}{a})$

$= \frac{c(a - b)}{ {a}^{2} }$

Hope, this help you