Question

How do you simplify x−3x−5÷x3−27x3+8⋅x2−25x+5?

Answer 1

Step by step explanation :

$x - 3x - 5 \div x3 - 27x3 + 8 \times x2 - 25x + 5$

Write the division as a fraction.

Calculate the product by multiplying the numbers.

$= > x - 3x - \frac{5}{x} \times 3 - 81x + 16x - 25x + 5$

Calculate the product.

$= x - 3x - \frac{15}{x} - 81x + 16x - 25x + 5$

Collect like terms by calculating the sum or difference of their coefficients.

$= > - 92x - \frac{15}{x} + 5$

Write all numerators above the common denominator.

$= > \frac{ - 92x {}^{2} -15 + 5x }{x}$

Use the commutative property to reorder the terms.

$= > \frac{ - 92x {}^{2} + 5x - 15 }{x}$