Question

How do you simplify x2−12x+32x2−6x−16÷x2−x−12x2−5x−24?

Answer 1

Step by step explanation :

$x \times 2 - 12x + 32x \times 2 - 6x - 16 \div x \times 2 - x - 12x \times 2 - 5x - 24$

Use the commutative property to reorder the terms x × 2.

Calculate the product by multiplying the numbers.

Write the division as a fraction.

$= > 2x - 12x + 64x - 6x - \frac{16}{x} \times 2 - x - 24x - 5x - 24$

Calculate the product.

$= > 2x - 12x + 64x - 6x - \frac{32}{x} - x - 24x - 5x - 24$

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

$= > 18x - \frac{32}{x} - 24$

Write all numerators above the common denominator.

$= > \frac{18x {}^{2} - 32 - 24x }{x}$

Use the commutative property to reorder the terms.

$= > \frac{18x {}^{2} - 24x - 32}{x}$