What is factor 14x^2y-21xy+35xy^2 ?

The solution to factor 14x^2y-21xy+35xy^2 is 7xy(2x-3+5y)

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factor 14x^2y-21xy+35xy^2

factor

14 x^{2} y - 21 x y + 35 x y^{2}

7 x y (2 x - 3 + 5 y)

Solution steps

14 x^{2} y - 21 x y + 35 x y^{2}

Apply exponent rule:

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

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

= 14 xx y - 21 x y + 35 x yy

Rewrite

35

5 \cdot 7

Rewrite

- 21

3 \cdot 7

= 2 \cdot 7 xx y + 3 \cdot 7 x y + 5 \cdot 7 x yy

Factor out common term

7 x y

= 7 x y (2 x - 3 + 5 y)

\frac{2}{3} + \frac{1}{1}

x^{2} + 4 x + 4 - 9 \geq 0

\frac{5}{3} + \frac{7}{4}

0 \times x = 0

6 x^{2} - 13 x - 5

What is factor 14x^2y-21xy+35xy^2 ?
The solution to factor 14x^2y-21xy+35xy^2 is 7xy(2x-3+5y)