Factor x^4+8x^3+24x^2+32x+16

$x^{4} + 8 x^{3} + 24 x^{2} + 32 x + 16$

Step 1

Make each term match the terms from the binomial theorem formula.

$x^{4} + 4 \cdot 2 x^{3} + 6 \cdot 2^{2} x^{2} + 4 \cdot 2^{3} x + 2^{4}$

Step 2

Factor $x^{4} + 4 \cdot 2 x^{3} + 6 \cdot 2^{2} x^{2} + 4 \cdot 2^{3} x + 2^{4}$ using the binomial theorem.

${(x + 2)}^{4}$