What is factor 24x^3y^2+16x^2y^4-8xy^2 ?

The solution to factor 24x^3y^2+16x^2y^4-8xy^2 is 8xy^2(3x^2+2xy^2-1)

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factor 24x^3y^2+16x^2y^4-8xy^2

factor

24 x^{3} y^{2} + 16 x^{2} y^{4} - 8 x y^{2}

8 x y^{2} (3 x^{2} + 2 x y^{2} - 1)

Solution steps

24 x^{3} y^{2} + 16 x^{2} y^{4} - 8 x y^{2}

Apply exponent rule:

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

x^{3} y^{2} = x x^{2} y^{2}, x^{2} y^{4} = xx y^{2} y^{2}

= 24 x x^{2} y^{2} + 16 xx y^{2} y^{2} - 8 x y^{2}

Rewrite

16

2 \cdot 8

Rewrite

24

3 \cdot 8

= 3 \cdot 8 x x^{2} y^{2} + 2 \cdot 8 xx y^{2} y^{2} - 8 x y^{2}

Factor out common term

8 x y^{2}

= 8 x y^{2} (3 x^{2} + 2 x y^{2} - 1)

\frac{9 !}{( 9 - 4 ) ! \cdot 4 !}

4 c^{2} - 22 c + 10

7 \cdot \frac{1}{8}

- 5 x^{2} + 10 x + 20

7 k^{2} - 16 k + 100 = 0

What is factor 24x^3y^2+16x^2y^4-8xy^2 ?
The solution to factor 24x^3y^2+16x^2y^4-8xy^2 is 8xy^2(3x^2+2xy^2-1)