Question

How do you simplify `-4x^3(2x^4-5y)`?

Answer 1

`color(magenta)(-8x^7+20x^3y`

Explanation:

Given
`color(white)("XXX")color(red)(-4x^3)(color(blue)(2x^4)-color(green)(5y))`

Using the Distributive Property this becomes
`color(white)("XXX")(color(red)(-4x^3)) * (color(blue)(2x^4))-(color(red)(-4x^3)) * (color(green)(5y))`

`color(white)("XXX")=(color(red)(-4)) * color(blue)2 * color(red)(x^3) * color(blue)(x^4) -(color(red)(-4)) * color(green)5 * color(red)(x^3) * color(green)y`

`color(white)("XXX")=-8x^7 - (-20x^3y)`

`color(white)("XXX")=-8x^7+20x^3y`