What is factor 16b^6+8b^3k^2+k^4 ?

The solution to factor 16b^6+8b^3k^2+k^4 is (4b^3+k^2)^2

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factor 16b^6+8b^3k^2+k^4

factor

16 b^{6} + 8 b^{3} k^{2} + k^{4}

(4 b^{3} + k^{2})^{2}

Solution steps

16 b^{6} + 8 b^{3} k^{2} + k^{4}

Break the expression into groups

= (16 b^{6} + 4 b^{3} k^{2}) + (4 b^{3} k^{2} + k^{4})

Factor out

4 b^{3}

from

16 b^{6} + 4 b^{3} k^{2} : 4 b^{3} (4 b^{3} + k^{2})

Factor out

k^{2}

from

4 b^{3} k^{2} + k^{4} : k^{2} (4 b^{3} + k^{2})

= 4 b^{3} (4 b^{3} + k^{2}) + k^{2} (4 b^{3} + k^{2})

Factor out common term

4 b^{3} + k^{2}

= (4 b^{3} + k^{2}) (4 b^{3} + k^{2})

Apply exponent rule:

aa = a^{2}

(4 b^{3} + k^{2}) (4 b^{3} + k^{2}) = (4 b^{3} + k^{2})^{2}

= (4 b^{3} + k^{2})^{2}

(- 5 x^{2} - x + 4) + (- 3 x^{2} - 5 x + 2)

\frac{m}{2} + 3 m - \frac{2 m}{3} + 4

(x^{2} y^{3} - 8) (x^{2} y^{3} + 6)

\frac{- 27}{3}

4 x^{3} + 8 x^{2}

What is factor 16b^6+8b^3k^2+k^4 ?
The solution to factor 16b^6+8b^3k^2+k^4 is (4b^3+k^2)^2