Suriin ang malawak na saklaw ng mga paksa sa IDNStudy.com. Tuklasin ang libu-libong mga sagot na na-verify ng mga eksperto at hanapin ang mga solusyong kailangan mo, anuman ang paksa.
The solution is x² - x - 42.
We need to simplify the following expression:
[tex]\sf (x+6)(x-7)[/tex]
The way we'll do this is we will use the FOIL method.
FOIL is an acronym that helps us remember the order of operations when we multiply a binomial by another binomial. It stands for:
Now let's apply this to our problem.
Step 1. Multiply the first terms
[tex]\sf x*x=x^2[/tex]
Step 2. Multiply the outside terms.
[tex]\sf x*(-7)=-7x[/tex]
Step 3. Multiply the inside terms.
[tex]\sf x*6=6x[/tex]
Step 4. Multiply the last terms.
[tex]\sf -42[/tex]
We get this expression:
[tex]\sf x^2-7x+6x-42[/tex]
Combine like terms:
[tex]\boxed{\sf x^2-x-42}[/tex]