Question

Solve using the distributive property -5(-3u-3x+4)

Answer 1

15u+15x-20

Explanation:

* = multiply or times

We have to multiply everything in the parenthesis by -5, meaning:

-5*-3u = 15u

-5*-3x = 15x

-5*4 = -20

Put it all together: 15u+15x-20

Answer 2

`\huge\text{Hey there!}`

`\huge\textbf{What is the distributive formula?}`

`\mathsf{a(b + c)}\\\\\mathsf{= a(b) + a(c)}\\\\\mathsf{= ab + ac}`

`\large\textbf{Extended distributive property formula:}`

`\mathsf{a(b + c + d)}\\\\\mathsf{= a(b) + a(c) + a(d)}\\\\\mathsf{= ab + ac + ad}`

`\huge\textbf{What are we solving for?}`

`\large\textbf{It seems like you have the extended distributive property}`

`\mathsf{-5(-3u - 3x + 4)}`

`\huge\textbf{What are the steps to solving for the}\\\\\huge\textbf{given equation?}`

`\mathsf{-5(-3u - 3x + 4)}\\\\\mathsf{= -5(-3u) - 5(-3x) - 5(4)}\\\\\mathsf{= 15u + 15x - 20}`

`\huge\textbf{What is the answer to the equation?}`

`\huge\boxed{\frak{{= 15\mathsf{u} + 15\mathsf{x} - 20}}}\huge\checkmark`

~