Simplify 3xx^4+3xx^3-5x^2x^3-5x^2x

$3 x \cdot x^{4} + 3 x \cdot x^{3} - 5 x^{2} x^{3} - 5 x^{2} x$

Simplify each term.

Multiply $x$ by $x^{4}$ by adding the exponents.

Move $x^{4}$ .

$3 (x^{4} x) + 3 x \cdot x^{3} - 5 x^{2} x^{3} - 5 x^{2} x$

Multiply $x^{4}$ by $x$ .

Raise $x$ to the power of $1$ .

$3 (x^{4} x^{1}) + 3 x \cdot x^{3} - 5 x^{2} x^{3} - 5 x^{2} x$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$3 x^{4 + 1} + 3 x \cdot x^{3} - 5 x^{2} x^{3} - 5 x^{2} x$

Add $4$ and $1$ .

$3 x^{5} + 3 x \cdot x^{3} - 5 x^{2} x^{3} - 5 x^{2} x$

Multiply $x$ by $x^{3}$ by adding the exponents.

Move $x^{3}$ .

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

Multiply $x^{3}$ by $x$ .

Raise $x$ to the power of $1$ .

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

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$3 x^{5} + 3 x^{3 + 1} - 5 x^{2} x^{3} - 5 x^{2} x$

Add $3$ and $1$ .

$3 x^{5} + 3 x^{4} - 5 x^{2} x^{3} - 5 x^{2} x$

Multiply $x^{2}$ by $x^{3}$ by adding the exponents.

Move $x^{3}$ .

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

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$3 x^{5} + 3 x^{4} - 5 x^{3 + 2} - 5 x^{2} x$

Add $3$ and $2$ .

$3 x^{5} + 3 x^{4} - 5 x^{5} - 5 x^{2} x$

Multiply $x^{2}$ by $x$ by adding the exponents.

Move $x$ .

$3 x^{5} + 3 x^{4} - 5 x^{5} - 5 (x \cdot x^{2})$

Multiply $x$ by $x^{2}$ .

Raise $x$ to the power of $1$ .

$3 x^{5} + 3 x^{4} - 5 x^{5} - 5 (x^{1} x^{2})$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$3 x^{5} + 3 x^{4} - 5 x^{5} - 5 x^{1 + 2}$

Add $1$ and $2$ .

$3 x^{5} + 3 x^{4} - 5 x^{5} - 5 x^{3}$

Subtract $5 x^{5}$ from $3 x^{5}$ .

$- 2 x^{5} + 3 x^{4} - 5 x^{3}$