The equation a+b+c=0 has roots α, β. Express (α+1)(β+1) in terms of a, b and c.

Step-by-step explanation:

We are given the equation:

Which has roots α and β.

And we want to express (α + 1)(β + 1) in terms of a, b, and c.

From the quadratic formula, we know that the two solutions to our equation are:

Let x₁ = α and x₂ = β. Substitute:

Combine fractions:

Rewrite:

Multiply and group:

Difference of two squares:

Expand and simplify:

Distribute:

Cancel like terms:

Factor:

Cancel. Hence:

Therefore:

answer: i don't understand it

step-by-step explanation: sorry