Expand (x-5)^4 - MathMaster

${(x - 5)}^{4}$

Use the Binomial Theorem.

$x^{4} + 4 x^{3} \cdot - 5 + 6 x^{2} {(- 5)}^{2} + 4 x {(- 5)}^{3} + {(- 5)}^{4}$

Simplify each term.

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Multiply $- 5$ by $4$ .

$x^{4} - 20 x^{3} + 6 x^{2} {(- 5)}^{2} + 4 x {(- 5)}^{3} + {(- 5)}^{4}$

Raise $- 5$ to the power of $2$ .

$x^{4} - 20 x^{3} + 6 x^{2} \cdot 25 + 4 x {(- 5)}^{3} + {(- 5)}^{4}$

Multiply $25$ by $6$ .

$x^{4} - 20 x^{3} + 150 x^{2} + 4 x {(- 5)}^{3} + {(- 5)}^{4}$

Raise $- 5$ to the power of $3$ .

$x^{4} - 20 x^{3} + 150 x^{2} + 4 x \cdot - 125 + {(- 5)}^{4}$

Multiply $- 125$ by $4$ .

$x^{4} - 20 x^{3} + 150 x^{2} - 500 x + {(- 5)}^{4}$

Raise $- 5$ to the power of $4$ .

$x^{4} - 20 x^{3} + 150 x^{2} - 500 x + 625$

Expand (x-5)^4

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