What is factor 4x^2+12x+9 ?

The solution to factor 4x^2+12x+9 is (2x+3)^2

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factor 4x^2+12x+9

factor

4 x^{2} + 12 x + 9

(2 x + 3)^{2}

Solution steps

4 x^{2} + 12 x + 9

Rewrite in the form of

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

4 x^{2} = (2 x)^{2}

9 = 3^{2}

12 x = 2 \cdot 2 x \cdot 3

= (2 x)^{2} + 2 \cdot 2 x \cdot 3 + 3^{2}

Apply Perfect Square Formula:

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

(2 x)^{2} + 2 \cdot 2 x \cdot 3 + 3^{2} = (2 x + 3)^{2}

= (2 x + 3)^{2}

5 n^{2} - 22 n + 21

\frac{5 y + 4}{2} = \frac{3 y - 2}{3}

\frac{( 2 x ^{- 2} y ) ^{- 2}}{( 3 x ^{3} y ^{4} ) ^{3}}

x^{2} + 3

\frac{2}{5} \cdot 10