Question

Factor 3/4 out of 3/4z + 6.

Answer 1

To factor ⅓ out of ⅓z + 6, identify ⅓ as the common factor and rewrite the expression as ⅓ multiplied by z and 8 respectively, and then factor out the ⅓ to get ⅓(z + 8).

Step-by-step explanation:

To factor ⅓ out of ⅓z + 6, we can follow these steps:

Identify the common factor. In both terms (⅓z and 6), the common factor is ⅓.

1. Write out the expression using the common factor. ⅓z can be written as ⅓ multiplied by z, and 6 can be written as ⅓ multiplied by 8.
2. Factor out the common term (⅓), which gives us ⅓(z + 8) as the factored expression.

The expression ⅓z + 6 is therefore factored into the form ⅓(z + 8).