What is factor x^4*y-x^2*y^2+x^2*y ?

The solution to factor x^4*y-x^2*y^2+x^2*y is x^2y(x^2-y+1)

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factor x^4y-x^2y^2+x^2*y

factor

x^{4} \cdot y - x^{2} \cdot y^{2} + x^{2} \cdot y

x^{2} y (x^{2} - y + 1)

Solution steps

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

Apply exponent rule:

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

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

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

Factor out common term

x^{2} y

= x^{2} y (x^{2} - y + 1)

5 x^{2} \cdot y + 8 x^{2} \cdot y^{2} + 3 y

(64 p^{3})^{\frac{4}{3}}

\frac{y}{( - x ^{2} )} - 4 x - 2

- 8 sin^{2} (a) - 7 - 8 cos^{2} (a)

(2 a^{2} b + 3 a^{3} b^{2})^{3}

What is factor x^4*y-x^2*y^2+x^2*y ?
The solution to factor x^4*y-x^2*y^2+x^2*y is x^2y(x^2-y+1)