What is factor 49a^2+14a+1 ?

The solution to factor 49a^2+14a+1 is (7a+1)^2

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factor 49a^2+14a+1

factor

49 a^{2} + 14 a + 1

(7 a + 1)^{2}

Solution steps

49 a^{2} + 14 a + 1

Rewrite in the form of

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

49 a^{2} = (7 a)^{2}

1 = 1^{2}

14 a = 2 \cdot 7 a \cdot 1

= (7 a)^{2} + 2 \cdot 7 a \cdot 1 + 1^{2}

Apply Perfect Square Formula:

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

(7 a)^{2} + 2 \cdot 7 a \cdot 1 + 1^{2} = (7 a + 1)^{2}

= (7 a + 1)^{2}

\frac{18}{32}

\frac{9}{x - 4} + \frac{2 x}{x + 4} > - 1

\frac{72}{2}

(64 s^{\frac{3}{7}})^{\frac{1}{6}}

2 (5 x + 1) = 22