What is factor 10x^5y+2x^3y^2+14x^2y^4 ?

The solution to factor 10x^5y+2x^3y^2+14x^2y^4 is 2x^2y(5x^3+xy+7y^3)

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factor 10x^5y+2x^3y^2+14x^2y^4

factor

10 x^{5} y + 2 x^{3} y^{2} + 14 x^{2} y^{4}

2 x^{2} y (5 x^{3} + x y + 7 y^{3})

Solution steps

10 x^{5} y + 2 x^{3} y^{2} + 14 x^{2} y^{4}

Apply exponent rule:

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

x^{5} y = x^{2} x^{3} y, x^{3} y^{2} = x^{2} x yy, x^{2} y^{4} = x^{2} y y^{3}

= 10 x^{2} x^{3} y + 2 x^{2} x yy + 14 x^{2} y y^{3}

Rewrite

14

7 \cdot 2

Rewrite

10

5 \cdot 2

= 5 \cdot 2 x^{2} x^{3} y + 2 x^{2} x yy + 7 \cdot 2 x^{2} y y^{3}

Factor out common term

2 x^{2} y

= 2 x^{2} y (5 x^{3} + x y + 7 y^{3})

i^{- 3}

\frac{12}{30} \cdot \frac{2}{30} \cdot \frac{17}{29}

5 x - 3 < 42 and - 5 x + 8 < 58

8 - 6 x^{2} = 0

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

What is factor 10x^5y+2x^3y^2+14x^2y^4 ?
The solution to factor 10x^5y+2x^3y^2+14x^2y^4 is 2x^2y(5x^3+xy+7y^3)