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

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

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

factor

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

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

Solution steps

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

Factor out common term

k^{2} : k^{2} (k^{2} + 8 k + 16)

= k^{2} (k^{2} + 8 k + 16)

Factor

k^{2} + 8 k + 16 : (k + 4) (k + 4)

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

Apply exponent rule:

aa = a^{2}

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

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

3 a^{2} + 16 a + 5

- \frac{4}{7} - \frac{1}{4}

(3 y + 9)^{2} = 81

\frac{3}{50} + \frac{7}{30}

\frac{\frac{3}{a} + \frac{b}{6}}{\frac{2 b}{3 a}}

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