Algebra Examples

$7 {(3 x + 2)}^{2} {(x - 1)}^{2} + (3 x + 2) {(x - 1)}^{3}$

Step 1

Factor $(3 x + 2) {(x - 1)}^{2}$ out of $7 {(3 x + 2)}^{2} {(x - 1)}^{2} + (3 x + 2) {(x - 1)}^{3}$ .

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Step 1.1

Factor $(3 x + 2) {(x - 1)}^{2}$ out of $7 {(3 x + 2)}^{2} {(x - 1)}^{2}$ .

$(3 x + 2) {(x - 1)}^{2} (7 (3 x + 2)) + (3 x + 2) {(x - 1)}^{3}$

Step 1.2

Factor $(3 x + 2) {(x - 1)}^{2}$ out of $(3 x + 2) {(x - 1)}^{3}$ .

$(3 x + 2) {(x - 1)}^{2} (7 (3 x + 2)) + (3 x + 2) {(x - 1)}^{2} (x - 1)$

Step 1.3

Factor $(3 x + 2) {(x - 1)}^{2}$ out of $(3 x + 2) {(x - 1)}^{2} (7 (3 x + 2)) + (3 x + 2) {(x - 1)}^{2} (x - 1)$ .

$(3 x + 2) {(x - 1)}^{2} (7 (3 x + 2) + x - 1)$

Step 2

Apply the distributive property.

$(3 x + 2) {(x - 1)}^{2} (7 (3 x) + 7 \cdot 2 + x - 1)$

Step 3

Multiply $3$ by $7$ .

$(3 x + 2) {(x - 1)}^{2} (21 x + 7 \cdot 2 + x - 1)$

Step 4

Multiply $7$ by $2$ .

$(3 x + 2) {(x - 1)}^{2} (21 x + 14 + x - 1)$

Step 5

Add $21 x$ and $x$ .

$(3 x + 2) {(x - 1)}^{2} (22 x + 14 - 1)$

Step 6

Subtract $1$ from $14$ .

$(3 x + 2) {(x - 1)}^{2} (22 x + 13)$