Answer:
[tex](x-5)(x+8)=x^2+3x-40[/tex]
Step-by-step explanation:
So we have the expression:
[tex](x-5)(x+8)[/tex]
To multiply, distribute the left to the terms on the right:
[tex]=(x-5)(x)+(x-5)(8)[/tex]
Distribute:
[tex]=(x^2-5x)+(8x-40)[/tex]
Combine like terms:
[tex]=(x^2)+(-5x+8x)+(-40)[/tex]
Simplify:
[tex]=x^2+3x-40[/tex]
Therefore:
[tex](x-5)(x+8)=x^2+3x-40[/tex]
