<p>If i have 3i^2 - i , does it = 2i^2?</p>
<p>Is have strictly plural or can it be used in a singular sense?</p>
<p>I have many pencils.
I have a pencil.</p>
<p>3i^2 - i = -3 - i</p>
<p>It can’t be simplified beyond that. It’s a complex number with nonzero real and imaginary parts.</p>
<p>2i^2 = 3i^2 - i^2, not 3i^2 - i. You can only combine like terms. Of course, i^2 = -1. </p>
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<p>I’m not sure what you mean, but both your examples are correct. In these sentences, “have” is just “to have” conjugated in the first person singular. It has nothing to do with the direct object.</p>
<p>Forget the imaginary stuff, it just so happend that I picked i as a variable.</p>
<p>If we had 3x^2 - x would it be 3x?</p>
<p>If subtracting an x can result in one x. How can dividing it do that?</p>
<p>3x^2/x = 3x</p>
<p>Where did the -3 come from. Did you perform the operation using imaginary number rules?</p>
<p>Same difference, except for the i^2 = -1 part (so ignore the -3 - i the top…this is only true if i is an imaginary number). 3x^2 - x cannot be simplified. You can’t get rid of the x^2 term by subtracting (scalar) multiples of x. </p>
<p>If this isn’t immediately obvious to you, try some numbers. What if x = 2, for example?</p>
<p>3(2)^2 - 2 = 12 - 2 = 10
3(2) = 6</p>
<p>They’re not equal. </p>
<p>It would probably help for you to review basic algebra stuff in general.</p>
<p>What about dividing? 3x^2/x is 3x right?</p>
<p>But subtracting 3x^2- x, will get nothing?</p>
<p>Also, we cannot get rid of the x^2 term, but can we atleast get 2x^2?</p>
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<p>Yes, assuming x is not equal to zero. </p>
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<p>You don’t get zero, if that’s what you mean. But you can’t simplify it into a monomial.</p>
<p>Basically, you can only add/subtract coefficients of like terms. So 3x^2 - x can’t be simplified further, and 3x^2 - x^2 = 2x^2.</p>