Question

rewrite the expression using the distributive property. 5(5x - 2) ?x - enter the number that goes in the green box.

Explanation:

Step1: Recall distributive property

The distributive property is \(a(b + c)=ab+ac\) (or \(a(b - c)=ab - ac\)). For \(5(5x - 2)\), we distribute 5 to both terms inside the parentheses.

Step2: Distribute 5 to \(5x\)

Multiply 5 by \(5x\): \(5\times5x = 25x\).

Step3: Distribute 5 to \(-2\)

Multiply 5 by \(-2\): \(5\times(-2)=- 10\). So the expression becomes \(25x-10\). The coefficient of \(x\) (the number in the green box) is 25.

Answer:

25