What is factor 32x^2*y-48x^3*y^3 ?

The solution to factor 32x^2*y-48x^3*y^3 is 16x^2y(2-3xy^2)

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factor 32x^2y-48x^3y^3

factor

32 x^{2} \cdot y - 48 x^{3} \cdot y^{3}

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

Solution steps

32 x^{2} y - 48 x^{3} y^{3}

Apply exponent rule:

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

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

= 32 x^{2} y - 48 x^{2} x y y^{2}

Rewrite

- 48

3 \cdot 16

Rewrite

32

2 \cdot 16

= 2 \cdot 16 x^{2} y + 3 \cdot 16 x^{2} x y y^{2}

Factor out common term

16 x^{2} y

= 16 x^{2} y (2 - 3 x y^{2})

\frac{a ^{2} - a - 90}{100 - a ^{2}}

(\frac{6 x - 1}{2 y})^{2}

(5 - a)^{3}

- (\frac{2 a + 1}{3})

1 - coth^{2} (x)

What is factor 32x^2*y-48x^3*y^3 ?
The solution to factor 32x^2*y-48x^3*y^3 is 16x^2y(2-3xy^2)