What is factor a^{10}-a^8+a^6+a^4 ?

The solution to factor a^{10}-a^8+a^6+a^4 is a^4(a^6-a^4+a^2+1)

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factor a^{10}-a^8+a^6+a^4

factor

a^{10} - a^{8} + a^{6} + a^{4}

a^{4} (a^{6} - a^{4} + a^{2} + 1)

Solution steps

a^{10} - a^{8} + a^{6} + a^{4}

Apply exponent rule:

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

a^{6} = a^{2} a^{4}

= a^{6} a^{4} - a^{4} a^{4} + a^{2} a^{4} + a^{4}

Factor out common term

a^{4}

= a^{4} (a^{6} - a^{4} + a^{2} + 1)

35 x y - 55 x^{2} + 10 x

2 x (x + 4) - 3 x (2 x - 5)

(x - 1) + (12 - 7.5 x)

6 a^{2} - 5 a - 5

125 x^{3} - 216 - 450 x^{2} + 540 x

What is factor a^{10}-a^8+a^6+a^4 ?
The solution to factor a^{10}-a^8+a^6+a^4 is a^4(a^6-a^4+a^2+1)