Question

Simplify the expression
x^2+5x+4/x^2+3x-4*x^2-2x+1/x^2-1

Answer 1

Simplifying

(2x2 + -3x + 1)(x + -2)

Reorder the terms:

(1 + -3x + 2x2)(x + -2)

Reorder the terms:

(1 + -3x + 2x2)(-2 + x)

Multiply (1 + -3x + 2x2) * (-2 + x)

(1(-2 + x) + -3x * (-2 + x) + 2x2 * (-2 + x))

((-2 * 1 + x * 1) + -3x * (-2 + x) + 2x2 * (-2 + x))

((-2 + 1x) + -3x * (-2 + x) + 2x2 * (-2 + x))

(-2 + 1x + (-2 * -3x + x * -3x) + 2x2 * (-2 + x))

(-2 + 1x + (6x + -3x2) + 2x2 * (-2 + x))

(-2 + 1x + 6x + -3x2 + (-2 * 2x2 + x * 2x2))

(-2 + 1x + 6x + -3x2 + (-4x2 + 2x3))

Combine like terms: 1x + 6x = 7x

(-2 + 7x + -3x2 + -4x2 + 2x3)

Combine like terms: -3x2 + -4x2 = -7x2

(-2 + 7x + -7x2 + 2x3)

Explanation: