因式分解 4x^2y^4-4xy^2+y^2

解答

因式分解

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

y^{2} (4 x^{2} y^{2} - 4 x + 1)

求解步骤

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

使用指数法则:

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

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

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

因式分解出通项

y^{2}

= y^{2} (4 x^{2} y^{2} - 4 x + 1)

f a c t or t^{2} cos^{3} (t) + t^{3} cos^{2} (t)

e x p an d (k - 6)^{3}

s im pl i f y (2 x - 2)^{3}

e x p an d 2 (x + y)^{2} + 5 (x + y) + 3

s im pl i f y \frac{18 x ^{7} \cdot x ^{13}}{( 3 x ^{10} ) ^{2}}