Question

distribute to create an equivalent expression with the fewest symbols possible.
(1 - 2g + 4h)·5 =

Explanation:

Step1: Apply distributive property

The distributive property states that \(a(b + c + d)=ab+ac + ad\). Here, \(a = 5\), \(b=1\), \(c=- 2g\), \(d = 4h\). So we multiply 5 with each term inside the parentheses: \(5\times1+5\times(-2g)+5\times4h\).

Step2: Calculate each product

Calculate each multiplication: \(5\times1 = 5\), \(5\times(-2g)=-10g\), \(5\times4h = 20h\).

Step3: Combine the terms

Combine the results to get the equivalent expression: \(5-10g + 20h\).

Answer:

\(5 - 10g + 20h\)