What is factor 16x^6y+16x^2y^4+32x^3y^2 ?

The solution to factor 16x^6y+16x^2y^4+32x^3y^2 is 16x^2y(x^4+y^3+2xy)

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factor 16x^6y+16x^2y^4+32x^3y^2

factor

16 x^{6} y + 16 x^{2} y^{4} + 32 x^{3} y^{2}

16 x^{2} y (x^{4} + y^{3} + 2 x y)

Solution steps

16 x^{6} y + 16 x^{2} y^{4} + 32 x^{3} y^{2}

Apply exponent rule:

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

x^{6} y = x^{2} x^{4} y, x^{2} y^{4} = x^{2} y y^{3}, x^{3} y^{2} = x^{2} x yy

= 16 x^{2} x^{4} y + 16 x^{2} y y^{3} + 32 x^{2} x yy

Rewrite

32

2 \cdot 16

= 16 x^{2} x^{4} y + 16 x^{2} y y^{3} + 2 \cdot 16 x^{2} x yy

Factor out common term

16 x^{2} y

= 16 x^{2} y (x^{4} + y^{3} + 2 x y)

\frac{3}{2} c + 23 = 38

4 y - 3 = 2 y + 3

x^{2} - 4 2^{2}

2 (x + 8) = 3 (x - 2)

c^{2} + 9 c + 18 = 0

What is factor 16x^6y+16x^2y^4+32x^3y^2 ?
The solution to factor 16x^6y+16x^2y^4+32x^3y^2 is 16x^2y(x^4+y^3+2xy)