Algebra Examples

${(2 x - 3)}^{2} + 12 x + 9$

Step 1

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

$4 u^{2} + 18$

Step 2

Factor $2$ out of $4 u^{2} + 18$ .

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Step 2.1

Factor $2$ out of $4 u^{2}$ .

$2 (2 u^{2}) + 18$

Step 2.2

Factor $2$ out of $18$ .

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

Step 2.3

Factor $2$ out of $2 (2 u^{2}) + 2 (9)$ .

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

Step 3

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

$2 (2 x^{2} + 9)$