Question

wednesday (unit 5 – lesson 5)
distribute.
8(3x + 12) 11(12 − 4x)
thursday (unit 5 – lesson 5)
factor the expression using the distributive property. use the greatest common factor (or common factor) and a product
72 + 18 16y − 96

Explanation:

Step1: Distribute \( 8(3x + 12) \)

Using the distributive property \( a(b + c)=ab + ac \), we have \( 8\times3x+8\times12 = 24x + 96 \).

Step2: Distribute \( 11(12 - 4x) \)

Using the distributive property \( a(b - c)=ab - ac \), we get \( 11\times12-11\times4x = 132 - 44x \).

Step3: Factor \( 72 + 18 \)

First, find the GCF of 72 and 18. The GCF of 72 and 18 is 18. Then, \( 72+18 = 18\times4+18\times1 = 18(4 + 1) \).

Step4: Factor \( 16y - 96 \)

Find the GCF of 16y and 96. The GCF is 16. So, \( 16y-96 = 16\times y-16\times6 = 16(y - 6) \).

Answer:

• Distribution results: \( 8(3x + 12)=24x + 96 \), \( 11(12 - 4x)=132 - 44x \)
• Factoring results: \( 72 + 18 = 18(4 + 1) \), \( 16y - 96 = 16(y - 6) \)