What is factor+81p^8-100 ?

The solution to factor+81p^8-100 is (9p^4+10)(9p^4-10)

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factor+81p^8-100

factor

+ 81 p^{8} - 100

(9 p^{4} + 10) (9 p^{4} - 10)

Solution steps

81 p^{8} - 100

Apply exponent rules

= (9 p^{4})^{2} - 1 0^{2}

Apply Difference of Two Squares Formula:

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

(9 p^{4})^{2} - 1 0^{2} = (9 p^{4} + 10) (9 p^{4} - 10)

= (9 p^{4} + 10) (9 p^{4} - 10)

75 \cdot \frac{1}{25}

2 - 48

\frac{7}{x + 6} - \frac{6 x}{x ^{2} - 36}

8 \times 8 \times 8 \times 8 \times 8 \times 8

(\frac{4}{2 ^{2}})^{2 + 2}

What is factor+81p^8-100 ?
The solution to factor+81p^8-100 is (9p^4+10)(9p^4-10)