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

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

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factor x^4y^3+7x^2y-3x^3y^3

factor

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

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

Solution steps

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

Apply exponent rule:

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

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

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

Factor out common term

x^{2} y

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

(a + 16)^{2} = 16

s^{2} + 7 s t - 30 t^{2}

4 v^{2} + 15 v + 9

x^{3} - 9 x^{2} + 5 x - 45

\frac{( x + 3 )}{8} > \frac{( x - 2 )}{3}

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