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Use the distributive property to write an equivalent expression.

4(f-2g+1)
Answer:

Use the distributive property to write an equivalent expression.\newline4(f2g+1) 4(f-2 g+1) \newlineAnswer:

Full solution

Q. Use the distributive property to write an equivalent expression.\newline4(f2g+1) 4(f-2 g+1) \newlineAnswer:
  1. Apply Distributive Property: The distributive property states that a(b+c)=ab+aca(b + c) = ab + ac. We will apply this property to the expression 4(f2g+1)4(f-2g+1).
  2. Distribute to Term ff: First, distribute the 44 to the term ff, which gives us 4×f=4f4 \times f = 4f.
  3. Distribute to Term 2g-2g: Next, distribute the 44 to the term 2g-2g, which gives us 4×(2g)=8g4 \times (-2g) = -8g.
  4. Distribute to Term +1+1: Finally, distribute the 44 to the term +1+1, which gives us 4×1=44 \times 1 = 4.
  5. Combine Distributed Terms: Combine all the distributed terms to write the equivalent expression: 4f8g+44f - 8g + 4.

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