I need homework help and i don't know how to factor with more than one variable.

Factor with the coefficients first, then factor with the variables one at a time but you only have one variable, a ,

which is in both terms.

The GCF of 5 and 45 is 5.

The GCF of a and a is a

The GCF is 5a.

5ax^2-45a=5a(x^2-9) because 5ax^2/5a=x^2 and -45a/5a=-9

Now x^2-9 can be factored: x^2-9=(x-3)(x+3)

Answer: 5a(x-3)(x+3)

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