Answer
Factoring and expanding are completely opposite. To factor means to express as a product. To expand means to multiply it.
Lets look at the expression
$(x+2)^{2}$
Let’s expand it
$$(x+2)(x+2)$$ $$x^{2}+2x+2x+4$$ $$x^{2}+4x+4$
Now let’s factor
$$x^{2}+4x+4$$ $$(x+2)(x+2)$$
Work Step by Step
Factoring and expanding are completely opposite. To factor means to express as a product. To expand means to multiply it.
Lets look at the expression
$(x+2)^{2}$
Let’s expand it
$(x+2)(x+2)$ $x^{2}+2x+2x+4$ $x^{2}+4x+4$
Now let’s factor
$$x^{2}+4x+4$$ $$(x+2)(x+2)$$