What is the standard form of f(x)=(x+5)^2 ?

Feb 26, 2016

${x}^{2} + 10 x + 25$

Explanation:

${\left(x + 5\right)}^{2} = \left(x + 5\right) \left(x + 5\right)$

To distribute the brackets , each term in the 1st must multiply each term in the 2nd.

$\textcolor{b l u e}{\text{ (x + 5 ) }} \left(x + 5\right)$

$= \textcolor{b l u e}{\text{x""(x + 5 )" +color(blue) "5" }} \left(x + 5\right)$

$= {x}^{2} + 5 x + 5 x + 25 = {x}^{2} + 10 x + 25$

Feb 26, 2016

The "standard form" of a quadratic equation sets the expanded form of the expression to zero.

Explanation:

Expand the expression ${\left(x + 5\right)}^{2}$ : (x+5)(x+5) Complete the operations and set it equal to zero.

${x}^{2} + 10 x + 25 = 0$