What is factor 16+8x+x^2 ?

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

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factor 16+8x+x^2

factor

16 + 8 x + x^{2}

(x + 4)^{2}

Solution steps

16 + 8 x + x^{2}

Write in the standard form

= x^{2} + 8 x + 16

Rewrite in the form of

a^{2} + 2 ab + b^{2} :

16 = 4^{2}

8 x = 2 x \cdot 4

= x^{2} + 2 x \cdot 4 + 4^{2}

Apply Perfect Square Formula:

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

x^{2} + 2 x \cdot 4 + 4^{2} = (x + 4)^{2}

= (x + 4)^{2}

2 x + 15 = 3 x + 1

9 - x^{2}

\frac{4 ^{3}}{3 ^{3}}

15 = \frac{11 s - 8}{5 s + 1}

8840 = 1000 (100 - t) + 580 (100 - t)^{2}