Provide an appropriate response.Explain how (a - b)2 differs from a2 - b2 by expanding (a - b)2.

What will be an ideal response?


Expanding (a - b)2 one gets (a - b)2 = a2 - 2ab + b2 which differs from a2 - b2 by the term -2ab and the sign of b2.

Mathematics

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Provide an appropriate response.Use the substitution  to solve the equation 2(y + 3)2 - 5(y + 3) + 3 = 0.

A.
B.  
C.  
D.  

Mathematics

The graph of a piecewise-defined function is given. Write a definition for the function. 

A.

B.

C.

D.

Mathematics

Write as the sum and/or difference of logarithms. Express powers as factors.log5

A. log5x - 2
B. - 2log5x
C. 10 -  log5x
D. log5x - 2

Mathematics

Find the vertex, focus, and directrix of the parabola with the given equation.(y + 3)2 = -4(x - 2)

A. vertex: (-3, 2)   focus: (-4, 2)   directrix: x = -2 B. vertex: (2, -3)   focus: (3, -3)   directrix: x = 1 C. vertex: (2, -3)   focus: (1, -3)   directrix: x = 3 D. vertex: (-2, 3)   focus: (-3, 3)   directrix: x = -1

Mathematics