What is factor 18x^{4p+m}-66x^{2p+m}y^2-24x^my^4 ?

The solution to factor 18x^{4p+m}-66x^{2p+m}y^2-24x^my^4 is 6x^m(3x^{4p}-11x^{2p}y^2-4y^4)

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factor 18x^{4p+m}-66x^{2p+m}y^2-24x^my^4

factor

18 x^{4 p + m} - 66 x^{2 p + m} y^{2} - 24 x^{m} y^{4}

6 x^{m} (3 x^{4 p} - 11 x^{2 p} y^{2} - 4 y^{4})

Solution steps

18 x^{4 p + m} - 66 x^{2 p + m} y^{2} - 24 x^{m} y^{4}

Apply exponent rule:

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

x^{4 p + m} = x^{4 p} x^{m}

= 18 x^{4 p} x^{m} - 66 x^{2 p + m} y^{2} - 24 x^{m} y^{4}

Apply exponent rule:

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

x^{2 p + m} = x^{2 p} x^{m}

= 18 x^{4 p} x^{m} - 66 x^{2 p} x^{m} y^{2} - 24 x^{m} y^{4}

Factor out common term

6 x^{m} : 6 x^{m} (3 x^{4 p} - 11 x^{2 p} y^{2} - 4 y^{4})

= 6 x^{m} (3 x^{4 p} - 11 x^{2 p} y^{2} - 4 y^{4})

\frac{4}{5} (x - 2) < \frac{1}{3} (x - 6)

3 x^{2} - 2.4 x + 0.41 = 0

3 0^{4}

\frac{15 x y}{3 10 x y ^{3}}

(x - 4)^{\frac{2}{3}} < (2 x)^{\frac{1}{3}}

What is factor 18x^{4p+m}-66x^{2p+m}y^2-24x^my^4 ?
The solution to factor 18x^{4p+m}-66x^{2p+m}y^2-24x^my^4 is 6x^m(3x^{4p}-11x^{2p}y^2-4y^4)