What is factor 10x^3y^2-2xy^2+14xy ?

The solution to factor 10x^3y^2-2xy^2+14xy is 2xy(5x^2y-y+7)

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factor 10x^3y^2-2xy^2+14xy

factor

10 x^{3} y^{2} - 2 x y^{2} + 14 x y

2 x y (5 x^{2} y - y + 7)

Solution steps

10 x^{3} y^{2} - 2 x y^{2} + 14 x y

Apply exponent rule:

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

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

= 10 x x^{2} yy - 2 x yy + 14 x y

Rewrite

14

7 \cdot 2

Rewrite

10

5 \cdot 2

= 5 \cdot 2 x x^{2} yy - 2 x yy + 7 \cdot 2 x y

Factor out common term

2 x y

= 2 x y (5 x^{2} y - y + 7)

\frac{5 !}{3 ! 2 !}

- 9 (\frac{1}{8} - \frac{5}{4}) - \frac{5}{9}

0.1 x + 4.75 = - 1.5

x^{2} - 4 x + 3 > 0

\frac{x}{- 12} = - 9

What is factor 10x^3y^2-2xy^2+14xy ?
The solution to factor 10x^3y^2-2xy^2+14xy is 2xy(5x^2y-y+7)