Question

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)
ALGEBRA 1 ANSWERS ONLY

Answer 1

Good morning

Step-by-step explanation:

Part A:

4x¹⁰ = 4x²(x⁸)

64x² = 4x²(16)

Then  the greatest common factor is 4x²

Part B:

4x¹⁰ -  64x² = 4x²(x⁸) - 4x²(16)

                  = 4x²(x⁸ − 16)

                 = 4x²((x⁴)² − 4²)

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

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

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