which expression is equivalent to (-24) - 32n? a -8(3 - 4n) b 8(3 + 4n) c -8(3 + 4n) d 8(3 - 4n)
which expression is equivalent to (-24) - 32n? a -8(3 - 4n) b 8(3 + 4n) c -8(3 + 4n) d 8(3 - 4n)
Answer
Explanation:
Step1: Factor out the greatest - common factor
The greatest - common factor of 24 and 32 is 8. And since the original expression is $-24 - 32n$, we can factor out - 8. $-24-32n=-8\times3-8\times4n$
Step2: Apply the distributive property
Using the distributive property $a(b + c)=ab+ac$ in reverse, we have $-8\times3-8\times4n=-8(3 + 4n)$
Answer:
C. $-8(3 + 4n)$