Simplify 3x^3y^52x^5-3xy^4

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

Step 1

Multiply $x^{3}$ by $x^{5}$ by adding the exponents.

Move $x^{5}$ .

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

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

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

Add $5$ and $3$ .

$3 x^{8} y^{5} \cdot 2 \cdot (- 3 x y^{4})$

Step 2

Multiply $x^{8}$ by $x$ by adding the exponents.

Move $x$ .

$3 (x \cdot x^{8}) y^{5} \cdot 2 \cdot (- 3 y^{4})$

Multiply $x$ by $x^{8}$ .

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

$3 (x^{1} x^{8}) y^{5} \cdot 2 \cdot (- 3 y^{4})$

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

$3 x^{1 + 8} y^{5} \cdot 2 \cdot (- 3 y^{4})$

Add $1$ and $8$ .

$3 x^{9} y^{5} \cdot 2 \cdot (- 3 y^{4})$

Step 3

Multiply $y^{5}$ by $y^{4}$ by adding the exponents.

Move $y^{4}$ .

$3 x^{9} (y^{4} y^{5}) \cdot 2 \cdot - 3$

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

$3 x^{9} y^{4 + 5} \cdot 2 \cdot - 3$

Add $4$ and $5$ .

$3 x^{9} y^{9} \cdot 2 \cdot - 3$

Step 4

Multiply $2$ by $3$ .

$6 x^{9} y^{9} \cdot - 3$

Step 5

Multiply $- 3$ by $6$ .

$- 18 x^{9} y^{9}$

Simplify 3x^3y^5*2x^5*-3xy^4