Algebra Examples

$11 {(5 - x)}^{2} - 2 {(5 - x)}^{3}$

Step 1

Factor ${(5 - x)}^{2}$ out of $11 {(5 - x)}^{2} - 2 {(5 - x)}^{3}$ .

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Step 1.1

Factor ${(5 - x)}^{2}$ out of $11 {(5 - x)}^{2}$ .

${(5 - x)}^{2} \cdot 11 - 2 {(5 - x)}^{3}$

Step 1.2

Factor ${(5 - x)}^{2}$ out of $- 2 {(5 - x)}^{3}$ .

${(5 - x)}^{2} \cdot 11 + {(5 - x)}^{2} (- 2 (5 - x))$

Step 1.3

Factor ${(5 - x)}^{2}$ out of ${(5 - x)}^{2} \cdot 11 + {(5 - x)}^{2} (- 2 (5 - x))$ .

${(5 - x)}^{2} (11 - 2 (5 - x))$

Step 2

Apply the distributive property.

${(5 - x)}^{2} (11 - 2 \cdot 5 - 2 (- x))$

Step 3

Multiply $- 2$ by $5$ .

${(5 - x)}^{2} (11 - 10 - 2 (- x))$

Step 4

Multiply $- 1$ by $- 2$ .

${(5 - x)}^{2} (11 - 10 + 2 x)$

Step 5

Subtract $10$ from $11$ .

${(5 - x)}^{2} (1 + 2 x)$