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4 votes
If (8z − 9)(8z + 9) = az2 − b, what is the value of a?

2 Answers

1 vote

Answer:

64

Step-by-step explanation:

took the test

User S M Abrar Jahin
by
5.2k points
6 votes

Answer: a = 64

Step-by-step explanation:

We use the difference of squares rule to say

(m-n)(m+n) = m^2 - n^2

So in this particular case,

(8z-9)(8z+9) = (8z)^2-(9)^2 = 64z^2 - 81

We can see that the 64 matches with the 'a' of the expression az^2-81, which must mean a = 64

Side note: This means b = 81

User Donnikitos
by
4.6k points
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