Question

simplify the expressio -9(-10x - 11)

Explanation:

Step1: Apply distributive property

We use the distributive property \(a(b + c)=ab+ac\), here \(a = - 9\), \(b=-10x\), \(c = - 11\). So we have \(-9\times(-10x)+(-9)\times(-11)\).

Step2: Calculate each term

For the first term: \(-9\times(-10x)=90x\) (because the product of two negative numbers is positive). For the second term: \(-9\times(-11) = 99\) (again, product of two negative numbers is positive).

Step3: Combine the terms

Combine the two terms we got: \(90x + 99\).

Answer:

\(90x + 99\)