Answer:
The product of (x + 5)(x − 5) is [tex]x^2-25[/tex].
Step-by-step explanation:
The given expression is
[tex](x+5)(x-5)[/tex]
Using distributive property we get,
[tex]x(x-5)+5(x-5)[/tex]
again using distributive property we get,
[tex]x(x)+x(-5)+5(x)+5(-5)[/tex]
[tex]x(x)-5x+5x-25[/tex]
Combining like terms.
[tex]x^2+(-5x+5x)-25[/tex]
[tex]x^2-25[/tex]
Therefore the product of (x + 5)(x − 5) is [tex]x^2-25[/tex].
