What is factor 8x^3y-10x^2y^2+12xy^3 ?

The solution to factor 8x^3y-10x^2y^2+12xy^3 is 2xy(4x^2-5xy+6y^2)

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factor 8x^3y-10x^2y^2+12xy^3

factor

8 x^{3} y - 10 x^{2} y^{2} + 12 x y^{3}

2 x y (4 x^{2} - 5 x y + 6 y^{2})

Solution steps

8 x^{3} y - 10 x^{2} y^{2} + 12 x y^{3}

Apply exponent rule:

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

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

= 8 x x^{2} y - 10 xx yy + 12 x y y^{2}

Rewrite

12

6 \cdot 2

Rewrite

- 10

5 \cdot 2

= 4 \cdot 2 x x^{2} y + 5 \cdot 2 xx yy + 6 \cdot 2 x y y^{2}

Factor out common term

2 x y

= 2 x y (4 x^{2} - 5 x y + 6 y^{2})

0.3 b - 8.32 = 2.4 b + 4.7

3 z - 4 \geq 8 z + 2

8 y^{2} + 10 y + 3

\frac{3}{7} \cdot (- \frac{1}{3})

58 x + 52 = - 78 x - 78

What is factor 8x^3y-10x^2y^2+12xy^3 ?
The solution to factor 8x^3y-10x^2y^2+12xy^3 is 2xy(4x^2-5xy+6y^2)