Simplify (16x^9y^5-4x^9y^5)/(2x^3y^5)+3x*7x^5

$\frac{16 x^{9} y^{5} - 4 x^{9} y^{5}}{2 x^{3} y^{5}} + 3 x \cdot 7 x^{5}$

Step 1

Subtract $4 x^{9} y^{5}$ from $16 x^{9} y^{5}$ .

$\frac{12 x^{9} y^{5}}{2 x^{3} y^{5}} + 3 x \cdot (7 x^{5})$

Step 2

Simplify each term.

Cancel the common factor of $12$ and $2$ .

Factor $2$ out of $12 x^{9} y^{5}$ .

$\frac{2 (6 x^{9} y^{5})}{2 x^{3} y^{5}} + 3 x \cdot (7 x^{5})$

Cancel the common factors.

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

$\frac{2 (6 x^{9} y^{5})}{2 (x^{3} y^{5})} + 3 x \cdot (7 x^{5})$

Cancel the common factor.

$\frac{2 (6 x^{9} y^{5})}{2 (x^{3} y^{5})} + 3 x \cdot (7 x^{5})$

Rewrite the expression.

$\frac{6 x^{9} y^{5}}{x^{3} y^{5}} + 3 x \cdot (7 x^{5})$

Cancel the common factor of $x^{9}$ and $x^{3}$ .

Factor $x^{3}$ out of $6 x^{9} y^{5}$ .

$\frac{x^{3} (6 x^{6} y^{5})}{x^{3} y^{5}} + 3 x \cdot (7 x^{5})$

Cancel the common factors.

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

$\frac{x^{3} (6 x^{6} y^{5})}{x^{3} (y^{5})} + 3 x \cdot (7 x^{5})$

Cancel the common factor.

$\frac{x^{3} (6 x^{6} y^{5})}{x^{3} y^{5}} + 3 x \cdot (7 x^{5})$

Rewrite the expression.

$\frac{6 x^{6} y^{5}}{y^{5}} + 3 x \cdot (7 x^{5})$

Cancel the common factor of $y^{5}$ .

Cancel the common factor.

$\frac{6 x^{6} y^{5}}{y^{5}} + 3 x \cdot (7 x^{5})$

Divide $6 x^{6}$ by $1$ .

$6 x^{6} + 3 x \cdot (7 x^{5})$

Rewrite using the commutative property of multiplication.

$6 x^{6} + 3 \cdot 7 x \cdot x^{5}$

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

Move $x^{5}$ .

$6 x^{6} + 3 \cdot 7 (x^{5} x)$

Multiply $x^{5}$ by $x$ .

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

$6 x^{6} + 3 \cdot 7 (x^{5} x^{1})$

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

$6 x^{6} + 3 \cdot 7 x^{5 + 1}$

Add $5$ and $1$ .

$6 x^{6} + 3 \cdot 7 x^{6}$

Multiply $3$ by $7$ .

$6 x^{6} + 21 x^{6}$

Step 3

Add $6 x^{6}$ and $21 x^{6}$ .

$27 x^{6}$

Simplify (16x^9y^5-4x^9y^5)/(2x^3y^5)+3x*7x^5

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