What is factor 50x^3+160x^2y+128xy^2 ?

The solution to factor 50x^3+160x^2y+128xy^2 is 2x(5x+8y)^2

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factor 50x^3+160x^2y+128xy^2

factor

50 x^{3} + 160 x^{2} y + 128 x y^{2}

2 x (5 x + 8 y)^{2}

Solution steps

50 x^{3} + 160 x^{2} y + 128 x y^{2}

Factor out common term

2 x : 2 x (25 x^{2} + 80 x y + 64 y^{2})

= 2 x (25 x^{2} + 80 x y + 64 y^{2})

Factor

25 x^{2} + 80 x y + 64 y^{2} : (5 x + 8 y) (5 x + 8 y)

= 2 x (5 x + 8 y) (5 x + 8 y)

Apply exponent rule:

aa = a^{2}

(5 x + 8 y) (5 x + 8 y) = (5 x + 8 y)^{2}

= 2 x (5 x + 8 y)^{2}

96 n^{3} - 84 n^{2} + 112 n - 98

- 2 (3 x + 6) \geq 4 (x + 7)

(- 2 i)^{3}

2 7^{2} + x^{2} = 4 5^{2}

(x^{\frac{2}{3}})^{\frac{1}{2}}

What is factor 50x^3+160x^2y+128xy^2 ?
The solution to factor 50x^3+160x^2y+128xy^2 is 2x(5x+8y)^2