Question

How do you multiply `-7(3x + 7) + 4`?

Answer 1

`-7(3x+7)+4=-color(green)(21x-45)`

Explanation:

Using the distributive property for multiplication over addition:
`color(red)(-7)(color(blue)(3x)+color(purple)(7))+color(cyan)(4)`
`color(white)("XXX")=((color(red)(-7)) * (color(blue)(3x))+(color(red)(-7)) *(color(purple)(7)))+color(cyan)(4)`

`color(white)("XXX")=(color(orange)(-21x)color(brown)(-49))+color(cyan)(4)`

`color(white)("XXX")=color(green)(-21x-45)`