What is factor 8x^3-16x^2y+24xy ?

The solution to factor 8x^3-16x^2y+24xy is 8x(x^2-2xy+3y)

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factor 8x^3-16x^2y+24xy

factor

8 x^{3} - 16 x^{2} y + 24 x y

8 x (x^{2} - 2 x y + 3 y)

Solution steps

8 x^{3} - 16 x^{2} y + 24 x y

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

x^{3} = x x^{2}, x^{2} y = xx

= 8 x x^{2} - 16 xx + 24 x y

Rewrite

24

3 \cdot 8

Rewrite

- 16

2 \cdot 8

= 8 x x^{2} + 2 \cdot 8 xx + 3 \cdot 8 x y

Factor out common term

8 x

= 8 x (x^{2} - 2 x y + 3 y)

(x + 1) (\frac{2 - 3}{x})^{6}

(\frac{a ^{6}}{a ^{3}})^{2}

1.6 x^{2} - 3 x^{2}

5 - 20 x^{- 2}

(4 a^{6} - b^{7})^{3}

What is factor 8x^3-16x^2y+24xy ?
The solution to factor 8x^3-16x^2y+24xy is 8x(x^2-2xy+3y)