Calculus Examples

$\frac{35 x - 51 x + 25 x}{7 x - 6}$

Step 1

Expand $35 x - 51 x + 25 x$ .

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Step 1.1

Subtract $51 x$ from $35 x$ .

$\frac{- 16 x + 25 x}{7 x - 6}$

Step 1.2

Add $- 16 x$ and $25 x$ .

$\frac{9 x}{7 x - 6}$

Step 2

Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of $0$ .

$7 x$

$6$

$9 x$

$0$

Step 3

Divide the highest order term in the dividend $9 x$ by the highest order term in divisor $7 x$ .

					$\frac{9}{7}$
	$7 x$	-	$6$		$9 x$	+	$0$

Step 4

Multiply the new quotient term by the divisor.

Step 5

The expression needs to be subtracted from the dividend, so change all the signs in $9 x - \frac{54}{7}$

Step 6

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

Step 7

The final answer is the quotient plus the remainder over the divisor.

$\frac{9}{7} + \frac{54}{7 (7 x - 6)}$