lyzzy7
Simplify (2z – 3)^2.
4z2 – 9
4z2 – 9z
4z2 – 12z – 9
4z2 – 12z + 9
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jim_thompson5910
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|dw:1363334232850:dw|
jim_thompson5910
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go ahead and fill that table out for me please
lyzzy7
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|dw:1363334283151:dw|
jim_thompson5910
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very good
jim_thompson5910
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now add up all the terms in the 4 boxes and combine like terms (if possible)
\[\Large 4z^2 + (-6z) + (-6z) + 9\]
\[\Large 4z^2 - 6z - 6z + 9\]
\[\Large 4z^2 - 12z + 9\]
jim_thompson5910
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so
\[\Large (2z-3)^2 = 4z^2 - 12z + 9\]
for all values of z
lyzzy7
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so its 4z^2-12z+9, correct?
jim_thompson5910
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correct
lyzzy7
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thanks again:) you're a genius
jim_thompson5910
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you're welcome