Answer:
[tex]x^{2} - 100[/tex]
Step-by-step explanation:
There are 2 ways to do this, both producing the same answer (obviously)
1. one of the most common patterns in quadratics is the difference of 2 squares (which is this). By seeing this, you automatically know the product is gonna be the first term squared minus the second term squared:
[tex]x^{2} -10^{2}= x^{2} -100[/tex]
2. The other method is to use FOIL, which means u multiply the first terms, then the first and the second, then the second and the first, then the second terms. Like this:
(x + 10)(x - 10)
= (x*x) - (x*10) + (10*x) - (10*10) this simplifies to:
[tex]x^{2} +0 - 100\\= x^{2} -100[/tex]
i hope this helps!
