Factor 12x+4x^2+9 - Math solver

$12 x + 4 x^{2} + 9$

Let $u = x$ . Substitute $u$ for all occurrences of $x$ .

$12 u + 4 u^{2} + 9$

Factor using the perfect square rule.

Tap for more steps…

Rearrange terms.

$4 u^{2} + 12 u + 9$

Rewrite $4 u^{2}$ as ${(2 u)}^{2}$ .

${(2 u)}^{2} + 12 u + 9$

Rewrite $9$ as $3^{2}$ .

${(2 u)}^{2} + 12 u + 3^{2}$

Check that the middle term is two times the product of the numbers being squared in the first term and third term.

$12 u = 2 \cdot (2 u) \cdot 3$

Rewrite the polynomial.

${(2 u)}^{2} + 2 \cdot (2 u) \cdot 3 + 3^{2}$

Factor using the perfect square trinomial rule $a^{2} + 2 a b + b^{2} = {(a + b)}^{2}$ , where $a = 2 u$ and $b = 3$ .

${(2 u + 3)}^{2}$

Replace all occurrences of $u$ with $x$ .

${(2 x + 3)}^{2}$

Factor 12x+4x^2+9

Need help with MATH HOMEWORK