What is factor 48xy^2+24xy^4-12x^2y^4 ?

The solution to factor 48xy^2+24xy^4-12x^2y^4 is 12xy^2(4+2y^2-xy^2)

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factor 48xy^2+24xy^4-12x^2y^4

factor

48 x y^{2} + 24 x y^{4} - 12 x^{2} y^{4}

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

Solution steps

48 x y^{2} + 24 x y^{4} - 12 x^{2} y^{4}

Apply exponent rule:

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

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

= 48 x y^{2} + 24 x y^{2} y^{2} - 12 xx y^{2} y^{2}

Rewrite

24

2 \cdot 12

Rewrite

48

4 \cdot 12

= 4 \cdot 12 x y^{2} + 2 \cdot 12 x y^{2} y^{2} - 12 xx y^{2} y^{2}

Factor out common term

12 x y^{2}

= 12 x y^{2} (4 + 2 y^{2} - x y^{2})

∣ 6 x - 12 ∣ = 0

- 18 n^{2} + 15 n - 15

24 x^{3} - 3

1.3 b + 7.8 - 3.2 b

5 s^{3} - 20 s

What is factor 48xy^2+24xy^4-12x^2y^4 ?
The solution to factor 48xy^2+24xy^4-12x^2y^4 is 12xy^2(4+2y^2-xy^2)