Multiply and Simplify. 4x+4/x^2 * (x+2) (x-1) / x+1

Question

Lance Larson

Mathematics

27 March, 08:39

Multiply and Simplify. 4x+4/x^2 * (x+2) (x-1) / x+1

+2

Answers (1)

Know the Answer?

Landen Farmer · Answer 1

Step-by-step explanation:

(x^2 - 4) (x^2 - 4)

Simplifying

(x2 + - 4) (x2 + - 4)

Reorder the terms:

(-4 + x2) (x2 + - 4)

Reorder the terms:

(-4 + x2) (-4 + x2)

Multiply (-4 + x2) * (-4 + x2)

(-4 (-4 + x2) + x2 (-4 + x2))

((-4 * - 4 + x2 * - 4) + x2 (-4 + x2))

((16 + - 4x2) + x2 (-4 + x2))

(16 + - 4x2 + (-4 * x2 + x2 * x2))

(16 + - 4x2 + (-4x2 + x4))

Combine like terms: - 4x2 + - 4x2 = - 8x2

(16 + - 8x2 + x4)