Question

2 simplify 12x + 4(12x - 14)

Explanation:

Step1: Apply distributive property

First, we apply the distributive property (also known as the distributive law of multiplication over addition/subtraction) to the term \(4(12x - 14)\). The distributive property states that \(a(b + c)=ab+ac\) (or in this case, \(a(b - c)=ab - ac\)). So, we multiply 4 with each term inside the parentheses:

\(4\times12x=48x\) and \(4\times(- 14)=-56\)

So, the expression \(12x + 4(12x - 14)\) becomes \(12x+48x - 56\)

Step2: Combine like terms

Next, we combine the like terms. The like terms here are \(12x\) and \(48x\). To combine them, we add their coefficients. The coefficient of \(12x\) is 12 and the coefficient of \(48x\) is 48. So, \(12x + 48x=(12 + 48)x\)

Calculating \(12+48 = 60\), so \(12x+48x = 60x\)

Putting it back into the expression, we have \(60x-56\)

Answer:

\(60x - 56\)