Factor −27h + 6%0D%0A−%0D%0A27%0D%0Aℎ%0D%0A %0D%0A+%0D%0A %0D%0A6%0D%0A using the GCF.

Answer 1

To factor the expression \(-27h + 6\) using the greatest common factor (GCF), we first need to identify the GCF of the two terms, \(-27h\) and \(6\).

The coefficients are \(-27\) and \(6\). The GCF of these coefficients is \(3\).

Now, we can factor out the GCF from the expression:

1. Factor out \(3\) from both terms:
   • For \(-27h\), factoring out \(3\) gives us \(-9h\) (since \(-27h \div 3 = -9h\)).
   • For \(6\), factoring out \(3\) gives us \(2\) (since \(6 \div 3 = 2\)).

So we can rewrite the expression as: \[ -27h + 6 = 3(-9h + 2) \]

Therefore, the factored form of the expression is: \[ 3(-9h + 2) \]