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3 years ago

If (8z − 9)(8z + 9) = az2 − b, what is the value of a? (5 points)

1 answer:

3 0

The question is looking for the coefficient to the first term after multiplying the two sets of parentheses together.

=(8z − 9)(8z + 9)
using the FOIL method, multiply the first, outside, inside, then last terms

=(8z*8z) + (8z*9) + (-9*8z) + (-9*9)
=64z^2 + 72z - 72z - 81
the middle two terms cancel each other (72-72= 0)
=64z^2 - 81

ANSWER: The value of a is 64

Hope this helps! :)

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➷ Writing it out like this will help:

7 : 3 : 2

? : 3.75 : ?

So, 3.75 is 3 parts as per this ratio

Divide this amount by 3 to get 1 part in the ratio

3.75 / 3 = 1.25

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The amount altogether would be their individual amounts added together:

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