What is factor 12x^3y^2-36x^3y-48xy^2+144x^2y ?

The solution to factor 12x^3y^2-36x^3y-48xy^2+144x^2y is 12xy(x^2y-3x^2-4y+12x)

Popular >

factor 12x^3y^2-36x^3y-48xy^2+144x^2y

factor

12 x^{3} y^{2} - 36 x^{3} y - 48 x y^{2} + 144 x^{2} y

12 x y (x^{2} y - 3 x^{2} - 4 y + 12 x)

Solution steps

12 x^{3} y^{2} - 36 x^{3} y - 48 x y^{2} + 144 x^{2} y

Apply exponent rule:

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

x^{3} y^{2} = x x^{2} yy, x^{3} y = x x^{2} y, x y^{2} = x yy, x^{2} y = xx y

= 12 xxx yy - 36 xxx y - 48 x yy + 144 xx y

Rewrite

144

12 \cdot 12

Rewrite

- 48

4 \cdot 12

= 12 xxx yy + 3 \cdot 12 xxx y + 4 \cdot 12 x yy + 12 \cdot 12 xx y

Factor out common term

12 x y

= 12 x y (x^{2} y - 3 x^{2} - 4 y + 12 x)

3 u^{3} - 4 u^{2} - 12 u + 16

\frac{7 ^{n} + 7 ^{n} - 1}{7 ^{n} + 1 - 7 ^{n}}

20 - \frac{( p \cdot q ^{3} \cdot r )}{( p - q + r )}

\frac{( x ^{120} - y ^{180} )}{( x ^{2} - y ^{3} )}

3 x - 1 f (x) v^{5}

What is factor 12x^3y^2-36x^3y-48xy^2+144x^2y ?
The solution to factor 12x^3y^2-36x^3y-48xy^2+144x^2y is 12xy(x^2y-3x^2-4y+12x)