What is factor a^6+b^6-a^2b^4-a^4b^2 ?

The solution to factor a^6+b^6-a^2b^4-a^4b^2 is (a+b)^2(a-b)^2(a^2+b^2)

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factor a^6+b^6-a^2b^4-a^4b^2

factor

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

(a + b)^{2} (a - b)^{2} (a^{2} + b^{2})

Solution steps

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

Group by common factors

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

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

Factor out

a^{4}

from

a^{6} - a^{4} b^{2} : a^{4} (a^{2} - b^{2})

Factor out

b^{4}

from

b^{6} - a^{2} b^{4} : b^{4} (b^{2} - a^{2})

= a^{4} (a^{2} - b^{2}) + b^{4} (b^{2} - a^{2})

b^{4} (b^{2} - a^{2}) = - b^{4} (a^{2} - b^{2})

= a^{4} (a^{2} - b^{2}) - b^{4} (a^{2} - b^{2})

Factor out common term

a^{2} - b^{2}

= (a^{2} - b^{2}) (a^{4} - b^{4})

Factor

a^{2} - b^{2} : (a + b) (a - b)

= (a + b) (a - b) (a^{4} - b^{4})

Factor

a^{4} - b^{4} : (a^{2} + b^{2}) (a + b) (a - b)

= (a + b) (a - b) (a^{2} + b^{2}) (a + b) (a - b)

Simplify

= (a + b)^{2} (a - b)^{2} (a^{2} + b^{2})

\frac{4}{5} x = 1

- 5 + \frac{b}{26} = - 6

9^{2} + 5^{2} = c^{2}

6 x - 4 = 2 x + 24

x^{2} + 3 x - 40

What is factor a^6+b^6-a^2b^4-a^4b^2 ?
The solution to factor a^6+b^6-a^2b^4-a^4b^2 is (a+b)^2(a-b)^2(a^2+b^2)