Precalculus Examples

$4 (2 x + 7) {(x - 3)}^{2} + 2 {(2 x + 7)}^{2} (x - 3)$

Step 1

Factor $2 (2 x + 7) (x - 3)$ out of $4 (2 x + 7) {(x - 3)}^{2} + 2 {(2 x + 7)}^{2} (x - 3)$ .

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Step 1.1

Factor $2 (2 x + 7) (x - 3)$ out of $4 (2 x + 7) {(x - 3)}^{2}$ .

$2 (2 x + 7) (x - 3) (2 (x - 3)) + 2 {(2 x + 7)}^{2} (x - 3)$

Step 1.2

Factor $2 (2 x + 7) (x - 3)$ out of $2 {(2 x + 7)}^{2} (x - 3)$ .

$2 (2 x + 7) (x - 3) (2 (x - 3)) + 2 (2 x + 7) (x - 3) (2 x + 7)$

Step 1.3

Factor $2 (2 x + 7) (x - 3)$ out of $2 (2 x + 7) (x - 3) (2 (x - 3)) + 2 (2 x + 7) (x - 3) (2 x + 7)$ .

$2 (2 x + 7) (x - 3) (2 (x - 3) + 2 x + 7)$

Step 2

Apply the distributive property.

$2 (2 x + 7) (x - 3) (2 x + 2 \cdot - 3 + 2 x + 7)$

Step 3

Multiply $2$ by $- 3$ .

$2 (2 x + 7) (x - 3) (2 x - 6 + 2 x + 7)$

Step 4

Add $2 x$ and $2 x$ .

$2 (2 x + 7) (x - 3) (4 x - 6 + 7)$

Step 5

Add $- 6$ and $7$ .

$2 (2 x + 7) (x - 3) (4 x + 1)$