Factor (3x^5+8x^3)-(7x^2-6x^3)

$(3 x^{5} + 8 x^{3}) - (7 x^{2} - 6 x^{3})$

Step 1

Apply the distributive property.

$3 x^{5} + 8 x^{3} - (7 x^{2}) - (- 6 x^{3})$

Step 2

Multiply $7$ by $- 1$ .

$3 x^{5} + 8 x^{3} - 7 x^{2} - (- 6 x^{3})$

Step 3

Multiply $- 6$ by $- 1$ .

$3 x^{5} + 8 x^{3} - 7 x^{2} + 6 x^{3}$

Step 4

Add $8 x^{3}$ and $6 x^{3}$ .

$3 x^{5} + 14 x^{3} - 7 x^{2}$

Step 5

Factor $x^{2}$ out of $3 x^{5} + 14 x^{3} - 7 x^{2}$ .

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

$x^{2} (3 x^{3}) + 14 x^{3} - 7 x^{2}$

Factor $x^{2}$ out of $14 x^{3}$ .

$x^{2} (3 x^{3}) + x^{2} (14 x) - 7 x^{2}$

Factor $x^{2}$ out of $- 7 x^{2}$ .

$x^{2} (3 x^{3}) + x^{2} (14 x) + x^{2} \cdot - 7$

Factor $x^{2}$ out of $x^{2} (3 x^{3}) + x^{2} (14 x)$ .

$x^{2} (3 x^{3} + 14 x) + x^{2} \cdot - 7$

Factor $x^{2}$ out of $x^{2} (3 x^{3} + 14 x) + x^{2} \cdot - 7$ .

$x^{2} (3 x^{3} + 14 x - 7)$