What is factor 10t^3-2t^2s^2-5st+s^3 ?

The solution to factor 10t^3-2t^2s^2-5st+s^3 is (5t-s^2)(2t^2-s)

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factor 10t^3-2t^2s^2-5st+s^3

factor

10 t^{3} - 2 t^{2} s^{2} - 5 s t + s^{3}

(5 t - s^{2}) (2 t^{2} - s)

Solution steps

10 t^{3} - 2 t^{2} s^{2} - 5 s t + s^{3}

= (10 t^{3} - 2 t^{2} s^{2}) + (s^{3} - 5 t s)

Factor out

2 t^{2}

from

10 t^{3} - 2 t^{2} s^{2} : 2 t^{2} (5 t - s^{2})

Factor out

s

from

s^{3} - 5 t s : s (s^{2} - 5 t)

= 2 t^{2} (5 t - s^{2}) + s (s^{2} - 5 t)

s (s^{2} - 5 t) = - s (5 t - s^{2})

= 2 t^{2} (5 t - s^{2}) - s (5 t - s^{2})

Factor out common term

5 t - s^{2}

= (5 t - s^{2}) (2 t^{2} - s)

7 x^{2} - 6 x

8 k - 3 > 9 k + 10

16 (8 - 4 x)^{2} - 3 = 33

z^{2} - 2 z + 5 = 0

x^{2} \geq 4 x - 7

What is factor 10t^3-2t^2s^2-5st+s^3 ?
The solution to factor 10t^3-2t^2s^2-5st+s^3 is (5t-s^2)(2t^2-s)