What is factor 14s^4-19s^2r^2+5r^4 ?

The solution to factor 14s^4-19s^2r^2+5r^4 is (14s^2-5r^2)(s+r)(s-r)

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factor 14s^4-19s^2r^2+5r^4

factor

14 s^{4} - 19 s^{2} r^{2} + 5 r^{4}

(14 s^{2} - 5 r^{2}) (s + r) (s - r)

Solution steps

14 s^{4} - 19 s^{2} r^{2} + 5 r^{4}

Break the expression into groups

= (14 s^{4} - 5 s^{2} r^{2}) + (- 14 s^{2} r^{2} + 5 r^{4})

Factor out

s^{2}

from

14 s^{4} - 5 s^{2} r^{2} : s^{2} (14 s^{2} - 5 r^{2})

Factor out

- r^{2}

from

- 14 s^{2} r^{2} + 5 r^{4} : - r^{2} (14 s^{2} - 5 r^{2})

= s^{2} (14 s^{2} - 5 r^{2}) - r^{2} (14 s^{2} - 5 r^{2})

Factor out common term

14 s^{2} - 5 r^{2}

= (14 s^{2} - 5 r^{2}) (s^{2} - r^{2})

Factor

s^{2} - r^{2} : (s + r) (s - r)

= (14 s^{2} - 5 r^{2}) (s + r) (s - r)

20 e^{5} f^{2} - 16 e^{2} f

(1 - i)^{20}

4 a - 3 = 2 a + 7

\frac{\frac{2 π}{3}}{4}

\frac{2}{4} + 1 \leq - 1

What is factor 14s^4-19s^2r^2+5r^4 ?
The solution to factor 14s^4-19s^2r^2+5r^4 is (14s^2-5r^2)(s+r)(s-r)