If (8z − 9)(8z + 9) = az2 − b, what is the value of a?
The value of a is ____________.
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OpenStudy (anonymous):
Im pretty sure its 8 but i want to be sure
OpenStudy (welshfella):
what did you get for the expansion of (8x - 9)(8z + 9)?
OpenStudy (nincompoop):
it is distributive property
the coefficients are multiplied
\((ax+b) (ax-c) = (ax \times ax) - (ax \times c) + (ax \times c) - (b\times c)\)
if you focused on a, it will be \(a \times a = a^2 \)
OpenStudy (anonymous):
i dont understand
OpenStudy (anonymous):
how you got that
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OpenStudy (nincompoop):
I am providing the general idea without answering your own homework.
OpenStudy (princeharryyy):
multiply the left hand side and compare the coefficients according to the power of z
OpenStudy (nincompoop):
the coefficients in the first parenthesis will have to be multiplied to the coefficient in the second parenthesis
OpenStudy (princeharryyy):
@lealealea222
OpenStudy (anonymous):
this question confuses me so bad, i dont understand what your saying, im sorry
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OpenStudy (nincompoop):
what is a multiplied by a ?
OpenStudy (anonymous):
2?
OpenStudy (nincompoop):
let us use an actual number
\(2 \times 2 = ?\)
OpenStudy (anonymous):
4
OpenStudy (nincompoop):
\(4 \times 4 = ? \)
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OpenStudy (anonymous):
WAIT its ^2 im so sorry
OpenStudy (anonymous):
its az^2 − b
OpenStudy (nincompoop):
but you are not worried about z nor b
you have to worry about a
OpenStudy (anonymous):
ok ok, 8
OpenStudy (anonymous):
no 16
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OpenStudy (nincompoop):
how about
\(8 \times 8 = ? \)
OpenStudy (anonymous):
64
OpenStudy (nincompoop):
did you notice that
\(2 \times 2 = 2^2\)
\(4 \times 4 = 4^2\)
\(8 \times 8 = 8^2\)
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
so its 64??
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OpenStudy (nincompoop):
yes, because the coefficient are both 8
OpenStudy (nincompoop):
if the coefficients were different then you will multiply them as well
OpenStudy (anonymous):
Thankyou :)
OpenStudy (anonymous):
can you help with one more?
OpenStudy (nincompoop):
maybe
post it
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OpenStudy (anonymous):
Consider the functions f(x) = 2x + 1 and g(x) = x2 − 10. What is the value of f[g(3)]?
39
−3
−7
-1