QuestionFactor the following expression completely: $$y^{2}-2 y-80=$$ $\square$

Studdy Solution
Rewrite the quadratic expression using the numbers found:
The expression can be rewritten as:
$$y^2 + 10y - 8y - 80$$
Group the terms to factor by grouping:
$$(y^2 + 10y) + (-8y - 80)$$
Factor out the greatest common factor from each group:
$$y(y + 10) - 8(y + 10)$$
Notice that $(y + 10)$ is a common factor:
$$(y - 8)(y + 10)$$
Thus, the completely factored form of the expression is:
$$\boxed{(y - 8)(y + 10)}$$