Divide (18x5+6x4-12x3)÷6x2

$(18 x \cdot 5 + 6 x \cdot 4 - 12 x \cdot 3) \div 6 x \cdot 2$

Step 1

Simplify the numerator.

Factor $6 x$ out of $18 x \cdot 5 + 6 x \cdot 4 - 12 x \cdot 3$ .

Factor $6 x$ out of $18 x \cdot 5$ .

$(6 x (3 \cdot 5) + 6 x \cdot 4 - 12 x \cdot 3) \div 6 x \cdot 2$

Factor $6 x$ out of $6 x \cdot 4$ .

$(6 x (3 \cdot 5) + 6 x (4) - 12 x \cdot 3) \div 6 x \cdot 2$

Factor $6 x$ out of $- 12 x \cdot 3$ .

$(6 x (3 \cdot 5) + 6 x (4) + 6 x (- 2 \cdot 3)) \div 6 x \cdot 2$

Factor $6 x$ out of $6 x (3 \cdot 5) + 6 x (4)$ .

$(6 x (3 \cdot 5 + 4) + 6 x (- 2 \cdot 3)) \div 6 x \cdot 2$

Factor $6 x$ out of $6 x (3 \cdot 5 + 4) + 6 x (- 2 \cdot 3)$ .

$6 x (3 \cdot 5 + 4 - 2 \cdot 3) \div 6 x \cdot 2$

Combine exponents.

Multiply $3$ by $5$ .

$6 x (15 + 4 - 2 \cdot 3) \div 6 x \cdot 2$

Multiply $- 2$ by $3$ .

$6 x (15 + 4 - 6) \div 6 x \cdot 2$

Add $15$ and $4$ .

$6 x (19 - 6) \div 6 x \cdot 2$

Subtract $6$ from $19$ .

$6 x \cdot 13 \div 6 x \cdot 2$

Multiply $13$ by $6$ .

$78 x \div 6 x \cdot 2$

Step 2

Rewrite the division as a fraction.

$\frac{78 x}{6 x} \cdot 2$

Step 3

Cancel the common factor of $2$ .

Factor $2$ out of $6 x$ .

$\frac{78 x}{2 (3 x)} \cdot 2$

Cancel the common factor.

$\frac{78 x}{2 (3 x)} \cdot 2$

Rewrite the expression.

$\frac{78 x}{3 x}$

Step 4

Cancel the common factor of $78$ and $3$ .

Factor $3$ out of $78 x$ .

$\frac{3 (26 x)}{3 x}$

Cancel the common factors.

Factor $3$ out of $3 x$ .

$\frac{3 (26 x)}{3 (x)}$

Cancel the common factor.

$\frac{3 (26 x)}{3 x}$

Rewrite the expression.

$\frac{26 x}{x}$

Step 5

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{26 x}{x}$

Divide $26$ by $1$ .

$26$

Divide (18x*5+6x*4-12x*3)÷6x*2

Related Questions

Support LCMGCF.com by disabling your adblocker.

Divide (18x5+6x4-12x3)÷6x2