What is factor (2x^2y^4)+(2xy)-(3x^2y^2) ?

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

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factor (2x^2y^4)+(2xy)-(3x^2y^2)

factor

(2 x^{2} y^{4}) + (2 x y) - (3 x^{2} y^{2})

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

Solution steps

(2 x^{2} y^{4}) + (2 x y) - (3 x^{2} y^{2})

Remove parentheses:

(a) = a

= 2 x^{2} y^{4} + 2 x y - 3 x^{2} y^{2}

Apply exponent rule:

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

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

= 2 xx y y^{3} + 2 x y - 3 xx yy

Factor out common term

x y

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

21 + 4 (3^{2} - 5)

x - 7 \leq 5 - 3 x < 9 - 5 x

- 4 x + 5 < 1

2 x \leq 9

- 2 ∣ 5 - x ∣ < - 6

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