Factor Out Common Terms in 5x²+10x: Step-by-Step Solution

We factored the expression

$5x^2+10x$ into its basic terms:

$5\cdot x\cdot x+5\cdot2\cdot x$

Take out the common factor from the factored expression

To factor the expression $5x^2 + 10x$, first identify the common factor in each term. Here, both terms share a $5x$ factor.

$\blue 5\cdot \orange x\cdot x+\blue5\cdot2\cdot\orange x$

Next, factor out $5x$ from each term:

$5x^2 + 10x = 5x(x + 2)$

The common factor extracted is $5x(x + 2)$, making it the simplified expression.