SOLUTION: Multiply and match your result to the correct answer below: (z – 8)(z + 8) A)z2 + 16 B)z2 – 64 C)z2 – 16 D)z2 – 16y – 64

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Multiply and match your result to the correct answer below: (z – 8)(z + 8) A)z2 + 16 B)z2 – 64 C)z2 – 16 D)z2 – 16y – 64       Log On


   

Question 140005: Multiply and match your result to the correct answer below:
(z – 8)(z + 8)
A)z2 + 16
B)z2 – 64
C)z2 – 16
D)z2 – 16y – 64
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28z-8%29%28z%2B8%29 Start with the given expression


Now let's FOIL the expression



Remember, when you FOIL an expression, you follow this procedure:


%28highlight%28z%29-8%29%28highlight%28z%29%2B8%29 Multiply the First terms:%28z%29%2A%28z%29=z%5E2


%28highlight%28z%29-8%29%28z%2Bhighlight%288%29%29 Multiply the Outer terms:%28z%29%2A%288%29=8z


%28z%2Bhighlight%28-8%29%29%28highlight%28z%29%2B8%29 Multiply the Inner terms:%28-8%29%2A%28z%29=-8z


%28z%2Bhighlight%28-8%29%29%28z%2Bhighlight%288%29%29 Multiply the Last terms:%28-8%29%2A%288%29=-64


z%5E2%2B8z-8z-64 Now collect every term to make a single expression



z%5E2-64 Now combine like terms


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Answer:
So %28z-8%29%28z%2B8%29 foils and simplifies to z%5E2-64

In other words, %28z-8%29%28z%2B8%29=z%5E2-64