Question

Which of the following is a factor of m⁴ - 256 ?
1 point
m + 4,
m² - 4,
m + 16,
m² + 4​

Answer 1

Answer:

m+4

Step-by-step explanation:

Using the property a²-b² = (a+b)(a-b)

We can Obtain

${m}^{4} - 256 \\ = {m}^{4} - {4}^{4} \: \\\ = { {m}^{2} }^{2} - { 16 }^{2} \\ = ( {m}^{2} + 16) \times ( {m }^{2} - 16 )\\ = ( {m}^{2} + 16) \times( {m}^{2} - {4}^{2} ) \\ = ( {m}^{2} + 16) \times(m + 4) \times (m - 4 )$

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