Answer:
[tex]x^2 - 10x + 25[/tex]
Step-by-step explanation:
Hello!
Expand the square using the Distributive Property.
Expand
- [tex](x - 5)^2[/tex]
- [tex](x - 5)(x-5)[/tex]
Distributive x - 5 to each factor
- [tex]x(x - 5) -5 (x - 5)[/tex]
- [tex]x^2 - 5x - 5x+25[/tex]
- [tex]x^2 - 10x + 25[/tex]
The answer is [tex]x^2 - 10x + 25[/tex].
We can also use a special binomial product formula.
Formula: [tex](a - b)^2 = a^2 - 2ab + b^2[/tex]
- [tex](x - 5)^2 = x^2 - 2(x)(5) + 5^2[/tex]
- [tex](x - 5)^2 = x^2 - 10x + 25[/tex]
We get the same answer both ways.
