What is factor-7x^4y^2+14xy^3+21xy^4 ?

The solution to factor-7x^4y^2+14xy^3+21xy^4 is 7xy^2(-x^3+2y+3y^2)

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factor-7x^4y^2+14xy^3+21xy^4

factor

- 7 x^{4} y^{2} + 14 x y^{3} + 21 x y^{4}

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

Solution steps

- 7 x^{4} y^{2} + 14 x y^{3} + 21 x y^{4}

Apply exponent rule:

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

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

= - 7 x x^{3} y^{2} + 14 x y^{2} y + 21 x y^{2} y^{2}

Rewrite

21

3 \cdot 7

Rewrite

14

2 \cdot 7

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

Factor out common term

7 x y^{2}

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

4 x^{3} - 6 x^{2} - 4 x

2 x^{2} = 88

82

\frac{3}{7} \cdot 7

16.5

What is factor-7x^4y^2+14xy^3+21xy^4 ?
The solution to factor-7x^4y^2+14xy^3+21xy^4 is 7xy^2(-x^3+2y+3y^2)