What is factor x^4-10000 ?

The solution to factor x^4-10000 is (x^2+100)(x+10)(x-10)

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factor x^4-10000

factor

x^{4} - 10000

(x^{2} + 100) (x + 10) (x - 10)

Solution steps

x^{4} - 10000

Apply exponent rules

= (x^{2})^{2} - 10 0^{2}

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

(x^{2})^{2} - 10 0^{2} = (x^{2} + 100) (x^{2} - 100)

= (x^{2} + 100) (x^{2} - 100)

Factor

x^{2} - 100 : (x + 10) (x - 10)

= (x^{2} + 100) (x + 10) (x - 10)

100 \cdot 1 0^{- 6}

x^{2} + 3^{2} = 4^{2}

(- \frac{3}{8})^{2}

1.5 x = 3.45

\frac{24}{2}

What is factor x^4-10000 ?
The solution to factor x^4-10000 is (x^2+100)(x+10)(x-10)