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Q: What is sine squared theta subtract six cosine squared theta divided by one minus seven cosine squared theta?

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No, it is not. To be correct, the expression requires parenthesis, which are missing.

4 squared minus 2 squared equals 12

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The answer is 4 squared minus 2 squared as 4 squared is 16 minus 2 squared, which is 4, gives you 12 as an answer.

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None of the graphs that I can see!

By factoring I get x-3 divided by x+3

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The question contains an expression but not an equation. You cannot solve an expression.

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It simplifies to 5a+4 !

2x squared minus 4

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Multiply both sides by sin(1-cos) and you lose the denominators and get (sin squared) minus 1+cos times 1-cos. Then multiply out (i.e. expand) 1+cos times 1-cos, which will of course give the difference of two squares: 1 - (cos squared). (because the cross terms cancel out.) (This is diff of 2 squares because 1 is the square of 1.) And so you get (sin squared) - (1 - (cos squared)) = (sin squared) + (cos squared) - 1. Then from basic trig we know that (sin squared) + (cos squared) = 1, so this is 0.

82 / 2 = 64/2 = 32 - 8 = 24 - 3 = 21