What is factor 192x^8+81x^5y^3 ?

The solution to factor 192x^8+81x^5y^3 is 3x^5(4x+3y)(16x^2-12xy+9y^2)

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factor 192x^8+81x^5y^3

factor

192 x^{8} + 81 x^{5} y^{3}

3 x^{5} (4 x + 3 y) (16 x^{2} - 12 x y + 9 y^{2})

Solution steps

192 x^{8} + 81 x^{5} y^{3}

Factor out common term

3 x^{5} : 3 x^{5} (64 x^{3} + 27 y^{3})

= 3 x^{5} (64 x^{3} + 27 y^{3})

Factor

64 x^{3} + 27 y^{3} : (4 x + 3 y) (16 x^{2} - 12 x y + 9 y^{2})

= 3 x^{5} (4 x + 3 y) (16 x^{2} - 12 x y + 9 y^{2})

4 x^{- \frac{1}{2}}

(2 x + 1) (x - 3) = (x + 1) (x - 1) - 8

\frac{a ^{- \frac{1}{4}} a ^{\frac{3}{2}}}{a ^{\frac{1}{3}}}

49 x^{2} - 140 x + 100

8 (t + 2) + 7 (t + 2) - 3 (t - 2) < 0

What is factor 192x^8+81x^5y^3 ?
The solution to factor 192x^8+81x^5y^3 is 3x^5(4x+3y)(16x^2-12xy+9y^2)