Question

1. simplify the expression 6 + 2(2 - 5x)

a. 2 - 10x
b. -10x + 10
c. 2x - 10
d. 4 + 10x

Explanation:

Step1: Apply the distributive property

We have the expression \(6 + 2(2 - 5x)\). Using the distributive property \(a(b + c)=ab+ac\) (here \(a = 2\), \(b = 2\), \(c=- 5x\)), we get \(6+2\times2-2\times5x\).

Step2: Perform the multiplications

Calculate \(2\times2 = 4\) and \(2\times5x=10x\). So the expression becomes \(6 + 4-10x\).

Step3: Combine like terms

Combine the constant terms \(6\) and \(4\). \(6 + 4=10\). So the simplified expression is \(-10x + 10\).

Answer:

b. \(-10x + 10\)