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[tex](x + 6) ( x - 7)[/tex]


Sagot :

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:

  • first
  • outside
  • inside
  • last

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]