lalaland_lauren
  • lalaland_lauren
If (6y − 11)(6y + 11) = ay2 − b, what is the value of a?
Algebra
schrodinger
  • schrodinger
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jim_thompson5910
  • jim_thompson5910
hints: difference of square rule (x-y)*(x+y) = x^2 - y^2 (3z+2x)*(3z-2x) = (3z)^2 - (2x)^2 = 9z^2 - 4x^2 (2y+5)*(2y-5) = (4y)^2 - (5)^2 = 16y^2 - 25 none of these are the answer. They're just examples
lalaland_lauren
  • lalaland_lauren
That didn't really help me :( can I just get the answer?
jim_thompson5910
  • jim_thompson5910
Difference of squares rule \[\Large (\color{red}{x} - \color{blue}{y})(\color{red}{x} + \color{blue}{y}) = (\color{red}{x})^2 - (\color{blue}{y})^2\] \[\Large (\color{red}{6y} - \color{blue}{11})(\color{red}{6y} + \color{blue}{11}) = (\color{red}{6y})^2 - (\color{blue}{11})^2 = ???\] I'll let you do that last part

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lalaland_lauren
  • lalaland_lauren
Would it be 36y^2- 121?
jim_thompson5910
  • jim_thompson5910
yes it would be
lalaland_lauren
  • lalaland_lauren
so a would be 36
jim_thompson5910
  • jim_thompson5910
correct

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