What is factor 4+4a+a^2 ?

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

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factor 4+4a+a^2

factor

4 + 4 a + a^{2}

(a + 2)^{2}

Solution steps

4 + 4 a + a^{2}

Write in the standard form

= a^{2} + 4 a + 4

Rewrite in the form of

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

4 = 2^{2}

4 a = 2 a \cdot 2

= a^{2} + 2 a \cdot 2 + 2^{2}

Apply Perfect Square Formula:

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

a^{2} + 2 a \cdot 2 + 2^{2} = (a + 2)^{2}

= (a + 2)^{2}

\frac{2}{3} \cdot \frac{3}{1}

\frac{9}{3} - \frac{8}{12}

x^{2} - 4 x + 2 x y - 8 y

\frac{x}{x + 2} + \frac{5}{x - 2}

1 0^{2} - 9^{2}