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

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

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factor 3yx^6+2x^4y^2+2x^2*y^4+y^6

factor

3 y \cdot x^{6} + 2 x^{4} \cdot y^{2} + 2 x^{2} \cdot y^{4} + y^{6}

y (3 x^{6} + 2 y x^{4} + 2 y^{3} x^{2} + y^{5})

Solution steps

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

Apply exponent rule:

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

y^{2} x^{4} = yy, y^{4} x^{2} = y y^{3}, y^{6} = y y^{5}

= 3 y x^{6} + 2 yy + 2 y y^{3} + y y^{5}

Factor out common term

y

= y (3 x^{6} + 2 y x^{4} + 2 y^{3} x^{2} + y^{5})

(2^{3} a^{8})^{2}

f (x) \cdot x + 3

(- 3 x^{2} + 6 y^{2} - 12 x + 6) + (- 6 y^{2} + 3 x^{2} + 12 x + 6)

(b - c)^{3}

\frac{( 2 x ^{2} - 3 x - 9 )}{( 4 x ^{2} - 9 )}

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