What is factor 9x^6y^4+6x^2y^8 ?

The solution to factor 9x^6y^4+6x^2y^8 is 3x^2y^4(3x^4+2y^4)

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factor 9x^6y^4+6x^2y^8

factor

9 x^{6} y^{4} + 6 x^{2} y^{8}

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

Solution steps

9 x^{6} y^{4} + 6 x^{2} y^{8}

Apply exponent rule:

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

x^{6} y^{4} = x^{2} x^{4} y^{4}, x^{2} y^{8} = x^{2} y^{4} y^{4}

= 9 x^{2} x^{4} y^{4} + 6 x^{2} y^{4} y^{4}

Rewrite

6

2 \cdot 3

Rewrite

9

3 \cdot 3

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

Factor out common term

3 x^{2} y^{4}

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

[4^{x^{2}} - 3 x + 2]^{- 2}

\frac{6 z ^{0} + ( 5 m ) ^{0}}{21}

(- x \cdot y^{2}) \cdot (- x \cdot y)^{3}

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

5 x^{10} \cdot y^{5} + 10 x^{8} \cdot y^{15} + 25 x^{16} \cdot y^{25}

What is factor 9x^6y^4+6x^2y^8 ?
The solution to factor 9x^6y^4+6x^2y^8 is 3x^2y^4(3x^4+2y^4)