Algebra Examples

9 {(x + 7)}^{3} {(5 x + 8)}^{3} - {(x + 7)}^{2} {(5 x + 8)}^{4}

$9 {(x + 7)}^{3} {(5 x + 8)}^{3} - {(x + 7)}^{2} {(5 x + 8)}^{4}$

Step 1

Factor

{(x + 7)}^{2} {(5 x + 8)}^{3}

${(x + 7)}^{2} {(5 x + 8)}^{3}$ out of

9 {(x + 7)}^{3} {(5 x + 8)}^{3} - {(x + 7)}^{2} {(5 x + 8)}^{4}

$9 {(x + 7)}^{3} {(5 x + 8)}^{3} - {(x + 7)}^{2} {(5 x + 8)}^{4}$ .

Tap for more steps...

Step 1.1

Factor

{(x + 7)}^{2} {(5 x + 8)}^{3}

${(x + 7)}^{2} {(5 x + 8)}^{3}$ out of

9 {(x + 7)}^{3} {(5 x + 8)}^{3}

$9 {(x + 7)}^{3} {(5 x + 8)}^{3}$ .

{(x + 7)}^{2} {(5 x + 8)}^{3} (9 (x + 7)) - {(x + 7)}^{2} {(5 x + 8)}^{4}

${(x + 7)}^{2} {(5 x + 8)}^{3} (9 (x + 7)) - {(x + 7)}^{2} {(5 x + 8)}^{4}$

Step 1.2

Factor

{(x + 7)}^{2} {(5 x + 8)}^{3}

${(x + 7)}^{2} {(5 x + 8)}^{3}$ out of

- {(x + 7)}^{2} {(5 x + 8)}^{4}

$- {(x + 7)}^{2} {(5 x + 8)}^{4}$ .

{(x + 7)}^{2} {(5 x + 8)}^{3} (9 (x + 7)) + {(x + 7)}^{2} {(5 x + 8)}^{3} (- 1 (5 x + 8))

${(x + 7)}^{2} {(5 x + 8)}^{3} (9 (x + 7)) + {(x + 7)}^{2} {(5 x + 8)}^{3} (- 1 (5 x + 8))$

Step 1.3

Factor

{(x + 7)}^{2} {(5 x + 8)}^{3}

${(x + 7)}^{2} {(5 x + 8)}^{3}$ out of

{(x + 7)}^{2} {(5 x + 8)}^{3} (9 (x + 7)) + {(x + 7)}^{2} {(5 x + 8)}^{3} (- 1 (5 x + 8))

${(x + 7)}^{2} {(5 x + 8)}^{3} (9 (x + 7)) + {(x + 7)}^{2} {(5 x + 8)}^{3} (- 1 (5 x + 8))$ .

{(x + 7)}^{2} {(5 x + 8)}^{3} (9 (x + 7) - 1 (5 x + 8))

${(x + 7)}^{2} {(5 x + 8)}^{3} (9 (x + 7) - 1 (5 x + 8))$

{(x + 7)}^{2} {(5 x + 8)}^{3} (9 (x + 7) - 1 (5 x + 8))

${(x + 7)}^{2} {(5 x + 8)}^{3} (9 (x + 7) - 1 (5 x + 8))$

Step 2

Apply the distributive property.

{(x + 7)}^{2} {(5 x + 8)}^{3} (9 x + 9 \cdot 7 - 1 (5 x + 8))

${(x + 7)}^{2} {(5 x + 8)}^{3} (9 x + 9 \cdot 7 - 1 (5 x + 8))$

Step 3

Multiply

9

$9$ by

7

$7$ .

{(x + 7)}^{2} {(5 x + 8)}^{3} (9 x + 63 - 1 (5 x + 8))

${(x + 7)}^{2} {(5 x + 8)}^{3} (9 x + 63 - 1 (5 x + 8))$

Step 4

Apply the distributive property.

{(x + 7)}^{2} {(5 x + 8)}^{3} (9 x + 63 - 1 (5 x) - 1 \cdot 8)

${(x + 7)}^{2} {(5 x + 8)}^{3} (9 x + 63 - 1 (5 x) - 1 \cdot 8)$

Step 5

Multiply

5

$5$ by

- 1

$- 1$ .

{(x + 7)}^{2} {(5 x + 8)}^{3} (9 x + 63 - 5 x - 1 \cdot 8)

${(x + 7)}^{2} {(5 x + 8)}^{3} (9 x + 63 - 5 x - 1 \cdot 8)$

Step 6

Multiply

$- 1$ by

$8$ .

${(x + 7)}^{2} {(5 x + 8)}^{3} (9 x + 63 - 5 x - 8)$

Step 7

Subtract

$5 x$ from

$9 x$ .

${(x + 7)}^{2} {(5 x + 8)}^{3} (4 x + 63 - 8)$

Step 8

Subtract

$8$ from

$63$ .

${(x + 7)}^{2} {(5 x + 8)}^{3} (4 x + 55)$