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How do you simplify $- 4 x^{3} (2 x^{4} - 5 y)$ $-4x^3(2x^4-5y)$ ?

1 Answer

Dec 22, 2016

$- 8 x^{7} + 20 x^{3} y$ $color(magenta)(-8x^7+20x^3y$

Explanation:

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

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

$XXX = (- 4) \cdot 2 \cdot x^{3} \cdot x^{4} - (- 4) \cdot 5 \cdot x^{3} \cdot y$ $color(white)("XXX")=(color(red)(-4)) * color(blue)2 * color(red)(x^3) * color(blue)(x^4) -(color(red)(-4)) * color(green)5 * color(red)(x^3) * color(green)y$

$XXX = - 8 x^{7} - (- 20 x^{3} y)$ $color(white)("XXX")=-8x^7 - (-20x^3y)$

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

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