What is factor a^4-10000 ?

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

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factor a^4-10000

factor

a^{4} - 10000

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

Solution steps

a^{4} - 10000

Apply exponent rules

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

Apply Difference of Two Squares Formula:

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

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

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

Factor

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

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

- 0.5 \cdot 2

\frac{7 m ^{2} - 6 m}{4 mn} + \frac{12 m ^{2} - 3 m}{4 mn}

2^{4} \cdot 2^{5}

10 20 n^{4}

3 (ab + b^{2}) - 4 (b^{2} - ab) + 2 (ba - b^{2})

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