What is factor 12x^3y+144x^2y^2+60xy^3 ?

The solution to factor 12x^3y+144x^2y^2+60xy^3 is 12xy(x^2+12xy+5y^2)

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factor 12x^3y+144x^2y^2+60xy^3

factor

12 x^{3} y + 144 x^{2} y^{2} + 60 x y^{3}

12 x y (x^{2} + 12 x y + 5 y^{2})

Solution steps

12 x^{3} y + 144 x^{2} y^{2} + 60 x y^{3}

Apply exponent rule:

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

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

= 12 x x^{2} y + 144 xx yy + 60 x y y^{2}

Rewrite

60

5 \cdot 12

Rewrite

144

12 \cdot 12

= 12 x x^{2} y + 12 \cdot 12 xx yy + 5 \cdot 12 x y y^{2}

Factor out common term

12 x y

= 12 x y (x^{2} + 12 x y + 5 y^{2})

2 (- 4)^{2}

3^{2} + 3

x^{3} + 2 x^{2} + x + 2

\frac{1}{2} \cdot \frac{2}{3}

(z + \frac{4}{3})^{2} = - 3

What is factor 12x^3y+144x^2y^2+60xy^3 ?
The solution to factor 12x^3y+144x^2y^2+60xy^3 is 12xy(x^2+12xy+5y^2)