What is factor 81a^2+36a+4 ?

The solution to factor 81a^2+36a+4 is (9a+2)^2

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factor 81a^2+36a+4

factor

81 a^{2} + 36 a + 4

(9 a + 2)^{2}

Solution steps

81 a^{2} + 36 a + 4

Rewrite in the form of

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

81 a^{2} = (9 a)^{2}

4 = 2^{2}

36 a = 2 \cdot 9 a \cdot 2

= (9 a)^{2} + 2 \cdot 9 a \cdot 2 + 2^{2}

Apply Perfect Square Formula:

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

(9 a)^{2} + 2 \cdot 9 a \cdot 2 + 2^{2} = (9 a + 2)^{2}

= (9 a + 2)^{2}

15 p^{2} + 80 = - 80 p

36 m^{4} - 12 m^{3} - 8 m^{2}

- 4 + \frac{r}{2} = - 8

322

m^{2} + 71 mn - 14 m^{2} - 65 mn + m^{3} - m^{2} - 115 m^{2} + 6 m^{3}