What is factor 16n^8-24n^4p-7p^2 ?

The solution to factor 16n^8-24n^4p-7p^2 is -(7p-4n^4)(p+4n^4)

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factor 16n^8-24n^4p-7p^2

factor

16 n^{8} - 24 n^{4} p - 7 p^{2}

- (7 p - 4 n^{4}) (p + 4 n^{4})

Solution steps

16 n^{8} - 24 n^{4} p - 7 p^{2}

Group by common factors

= - 7 p^{2} - 24 p n^{4} + 16 n^{8}

Break the expression into groups

= (- 7 p^{2} + 4 p n^{4}) + (- 28 p n^{4} + 16 n^{8})

Factor out

- p

from

- 7 p^{2} + 4 p n^{4} : - p (7 p - 4 n^{4})

Factor out

- 4 n^{4}

from

- 28 p n^{4} + 16 n^{8} : - 4 n^{4} (7 p - 4 n^{4})

= - p (7 p - 4 n^{4}) - 4 n^{4} (7 p - 4 n^{4})

Factor out common term

7 p - 4 n^{4}

= (7 p - 4 n^{4}) (- p - 4 n^{4})

Factor

- p - 4 n^{4} : - (p + 4 n^{4})

= - (7 p - 4 n^{4}) (p + 4 n^{4})

a^{2} - 10 a + 5 = - 4

q^{\frac{3}{2}}

42 a^{4} b^{6}

\frac{x}{3} + \frac{1}{2} = \frac{2}{3}

5 x^{2} + 7 = 0

What is factor 16n^8-24n^4p-7p^2 ?
The solution to factor 16n^8-24n^4p-7p^2 is -(7p-4n^4)(p+4n^4)