What is factor 8x^3y+2x^4-8x^4y ?

The solution to factor 8x^3y+2x^4-8x^4y is 2x^3(4y+x-4xy)

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factor 8x^3y+2x^4-8x^4y

factor

8 x^{3} y + 2 x^{4} - 8 x^{4} y

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

Solution steps

8 x^{3} y + 2 x^{4} - 8 x^{4} y

Apply exponent rule:

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

x^{4} = x^{3} x, x^{4} y = x^{3} x

= 8 x^{3} y + 2 x^{3} x - 8 x^{3} x y

Rewrite

- 8

4 \cdot 2

Rewrite

8

4 \cdot 2

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

Factor out common term

2 x^{3}

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

x^{2} y - x y^{2}

\frac{2}{5} - 1

4 x - 1 = 2 x + 1

f g - 5 g + 4 f - 20

14 n^{2} - 4 n

What is factor 8x^3y+2x^4-8x^4y ?
The solution to factor 8x^3y+2x^4-8x^4y is 2x^3(4y+x-4xy)