Question

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Given the expression: 4x10 − 64x2

Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)

Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

Answer 1

Answer:

Step-by-step explanation:

a) 4x¹⁰ = 2² * x¹⁰

   64x² = 2⁶ *x²

GCF = 2² * x² = 4x²

b) 4x¹⁰ - 64x² = 4x²*(x⁸ - 16)

                  =4x² *[ (x⁴)² - 4²]

                  = 4x² * (x⁴ + 4) (x⁴ - 4)

                  = 4x² * (x⁴ + 4)* [(x²)²- 2²]

                  =4x² * (x⁴ + 4) * (x² + 2)(x² - 2)