Provide an appropriate response.Explain how (m + n)3 differs from m3 + n3 by expanding (m + n)3.

What will be an ideal response?


Expanding (m + n)3, one gets (m + n)3 = m3 + 3m2n + 3mn2 + n3, which differs from m3 + n3 by the terms 3m2n and 3mn2.

Mathematics

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Using the variable x, write the interval using set-builder notation. 

A.
B.
C.
D. {x| 5 ? x ? 8}

Mathematics

Add.464 + 275

A. 1023 B. 739 C. 1039 D. 923

Mathematics

Find the vertex, focus, and directrix of the parabola. Graph the equation.(x + 3)2 = 8(y + 3)

A. vertex: (-3, -3)
focus: (-3, -1)
directrix: y = -5

B. vertex: (3, 3)
focus: (3, 5)
directrix: y = 1

C. vertex: (3, 3)
focus: (5, 3)
directrix: x = 1

D. vertex: (-3, -3)
focus: (-1, -3)
directrix: x = -5

Mathematics

Factor completely. State that the polynomial is prime if it cannot be factored.64pm4 - 64pn4 

A. 64p(m2 + n2)(m + n)(m - n) B. 64(m2p + n2)(mp + n)(mp - n) C. 64p(m2 - n2)2 D. p(8m2  + n2)(8m + n)(8m - n)

Mathematics