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3 years ago

Expand the expression (x-5)^3

Mathematics

2 answers:

matrenka [14]3 years ago

5 0

X^3 - 15x^2 + 75x - 125

lbvjy [14]3 years ago

4 0

Answer:

$x^3$ -15 $x^{2}$ +25x-125

Step-by-step explanation:

This is a quadratic equation, so we need to open the equation first. There are three (x-5), and then we multiply them together, and then combine like terms to get the answer.

(x-5)(x-5)(x-5)=

[x(x-5)-5(x-5)](x-5)=

( $x^{2}$ -5x-5x+25)(x-5)=

( $x^{2}$ -10x+25)(x-5)=

x( $x^{2}$ -10x+25)-5( $x^{2}$ -10x+25)

$x^3$ - $10x^2$ +25x- $5x^2$ -125=

$x^3$ -15 $x^{2}$ +25x-125

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Step-by-step explanation:

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