Algebra Examples

$2 x {(5 x - 1)}^{\frac{4}{5}} + 7 {(5 x - 1)}^{\frac{9}{5}}$

Step 1

Factor ${(5 x - 1)}^{\frac{4}{5}}$ out of $2 x {(5 x - 1)}^{\frac{4}{5}} + 7 {(5 x - 1)}^{\frac{9}{5}}$ .

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Step 1.1

Factor ${(5 x - 1)}^{\frac{4}{5}}$ out of $2 x {(5 x - 1)}^{\frac{4}{5}}$ .

${(5 x - 1)}^{\frac{4}{5}} (2 x) + 7 {(5 x - 1)}^{\frac{9}{5}}$

Step 1.2

Factor ${(5 x - 1)}^{\frac{4}{5}}$ out of $7 {(5 x - 1)}^{\frac{9}{5}}$ .

${(5 x - 1)}^{\frac{4}{5}} (2 x) + {(5 x - 1)}^{\frac{4}{5}} (7 {(5 x - 1)}^{\frac{5}{5}})$

Step 1.3

Factor ${(5 x - 1)}^{\frac{4}{5}}$ out of ${(5 x - 1)}^{\frac{4}{5}} (2 x) + {(5 x - 1)}^{\frac{4}{5}} (7 {(5 x - 1)}^{\frac{5}{5}})$ .

${(5 x - 1)}^{\frac{4}{5}} (2 x + 7 {(5 x - 1)}^{\frac{5}{5}})$

Step 2

Divide $5$ by $5$ .

${(5 x - 1)}^{\frac{4}{5}} (2 x + 7 {(5 x - 1)}^{1})$

Step 3

Simplify.

${(5 x - 1)}^{\frac{4}{5}} (2 x + 7 (5 x - 1))$

Step 4

Apply the distributive property.

${(5 x - 1)}^{\frac{4}{5}} (2 x + 7 (5 x) + 7 \cdot - 1)$

Step 5

Multiply $5$ by $7$ .

${(5 x - 1)}^{\frac{4}{5}} (2 x + 35 x + 7 \cdot - 1)$

Step 6

Multiply $7$ by $- 1$ .

${(5 x - 1)}^{\frac{4}{5}} (2 x + 35 x - 7)$

Step 7

Add $2 x$ and $35 x$ .

${(5 x - 1)}^{\frac{4}{5}} (37 x - 7)$