What is factor x^{2m+4}+5x^{m+4}-50x^4 ?

The solution to factor x^{2m+4}+5x^{m+4}-50x^4 is x^4(x^{2m}+5x^m-50)

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factor x^{2m+4}+5x^{m+4}-50x^4

factor

x^{2 m + 4} + 5 x^{m + 4} - 50 x^{4}

x^{4} (x^{2 m} + 5 x^{m} - 50)

Solution steps

x^{2 m + 4} + 5 x^{m + 4} - 50 x^{4}

Apply exponent rule:

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

x^{2 m + 4} = x^{2 m} x^{4}

= x^{2 m} x^{4} + 5 x^{m + 4} - 50 x^{4}

Apply exponent rule:

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

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

= x^{2 m} x^{4} + 5 x^{m} x^{4} - 50 x^{4}

Factor out common term

x^{4}

= x^{4} (x^{2 m} + 5 x^{m} - 50)

(x + 1) (x + 2) (x + 4)

18 x^{7}

- lo g_{10} (0.0025)

88 \cdot 2

- 2 i \cdot (- 2) i

What is factor x^{2m+4}+5x^{m+4}-50x^4 ?
The solution to factor x^{2m+4}+5x^{m+4}-50x^4 is x^4(x^{2m}+5x^m-50)