Question

Use the distributive property to evaluate the following expression:9 x (4 + 9). Show your work in your answer.I don't understand how distributive property works. Please help :)

Answer 1

Given:

`9*(4+9)`

By distributive property

`a(b+c)=ab+bc`

Hence, to solve the given expression multiply the terms in the bracket by 9

This implies

`9*(4+9)=9*4+9*9`

Simplify further to get

`\begin{gathered} 9*(4+9)=9*4+9*9 \\ 9*(4+9)=36+81 \\ 9*(4+9)=117 \end{gathered}`

Therefore, the answer is 117