What is factor a^6+b^6 ?

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

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factor a^6+b^6

factor

a^{6} + b^{6}

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

Solution steps

a^{6} + b^{6}

Apply exponent rules

= (a^{2})^{3} + (b^{2})^{3}

Apply Sum of Cubes Formula:

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

(a^{2})^{3} + (b^{2})^{3} = (a^{2} + b^{2}) ((a^{2})^{2} - a^{2} b^{2} + (b^{2})^{2})

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

Simplify

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

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

- 45 \cdot \frac{π}{180}

3.5 c - 6 = 1.7

b^{2} + 2 b - 35 = 0

(6 t^{\frac{1}{2}})^{2}

9 x^{2} - 30 x - 3

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