What is factor 6x^3y^2+10x^2y^3+8x^2y^2 ?

The solution to factor 6x^3y^2+10x^2y^3+8x^2y^2 is 2x^2y^2(3x+5y+4)

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factor 6x^3y^2+10x^2y^3+8x^2y^2

factor

6 x^{3} y^{2} + 10 x^{2} y^{3} + 8 x^{2} y^{2}

2 x^{2} y^{2} (3 x + 5 y + 4)

Solution steps

6 x^{3} y^{2} + 10 x^{2} y^{3} + 8 x^{2} y^{2}

Apply exponent rule:

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

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

= 6 x^{2} x y^{2} + 10 x^{2} y^{2} y + 8 x^{2} y^{2}

Rewrite

8

4 \cdot 2

Rewrite

10

5 \cdot 2

= 3 \cdot 2 x^{2} x y^{2} + 5 \cdot 2 x^{2} y^{2} y + 4 \cdot 2 x^{2} y^{2}

Factor out common term

2 x^{2} y^{2}

= 2 x^{2} y^{2} (3 x + 5 y + 4)

x^{4} y^{4} - 8 x^{2} y^{2} + 12

0 = x^{2} - 3 x - 28

848 + 75

x^{\frac{5}{2}} - 81 x^{\frac{1}{2}}

235 x^{2} + 0.2756 x + 0.08544 = 0

What is factor 6x^3y^2+10x^2y^3+8x^2y^2 ?
The solution to factor 6x^3y^2+10x^2y^3+8x^2y^2 is 2x^2y^2(3x+5y+4)