Question

Which expression is the factored form of−4.5n+3?


−1.5(3n+2)

−3(1.5n+1)

−3(1.5n−1)

−1.5(−3n+2)

Answer 1

Answer: Choice C

Explanation:

We can verify the answer by distributing the -3 through to each term inside

• -3 times 1.5n = -4.5n
• -3 times -1 = 3

This shows that -3(1.5n-1) is the same as -4.5n+3. The process of factoring out the GCF like this is basically the reverse of the distributive property.

The distributive property in general is $a(b+c) = ab+ac$