query: How to make $\mathrm{Abs}[x + y\, I]^2$ produce $x^2 + y^2$?
positive_passages.docid: 82088
positive_passages.text: Removing Abs from Abs[a + Exp[I*c]b]^2
negative_passages.docid: 127380
negative_passages.text: Use vectors to prove $\cos(\beta - \alpha) = \cos \alpha \cos\beta + \sin\alpha \sin\beta$
negative_passages.docid: 123997
negative_passages.text: Finding an expression for $\tan (a+ b + y)$ which involves only $\tan a, \tan b,$ and $\tan y$.
negative_passages.docid: 66313
negative_passages.text: $\mathbb{Z}[i]/(a+bi) \cong \mathbb{Z}_{a^2+b^2}$ if $(a,b)=1$
negative_passages.docid: 152814
negative_passages.text: Setting up the triple integrals for a solid given by $y+z=2$ and $x=4-y^2$?
negative_passages.docid: 54294
negative_passages.text: Can the product $AB$ be computed using only $+, -,$ and reciprocal operators?
negative_passages.docid: 104453
negative_passages.text: A question about the arctangent addition formula.
negative_passages.docid: 45775
negative_passages.text: In a $\triangle ABC,$ Evaluation of minimum value of $\cot^2 A+\cot^2 B+\cot^2 C$
negative_passages.docid: 115513
negative_passages.text: Find the minimum of $\sqrt{(x+1)^2+(y-1)^2}+\sqrt{(x+2)^2+(y+2)^2}+\sqrt{(x-1)^2+(y+1)^2}$ For real $x,y$
negative_passages.docid: 378
negative_passages.text: Does $\hat{\beta}=(X′X)^{−1}X′ \ Y$ simplify further?
negative_passages.docid: 73073
negative_passages.text: Differentiating $y=x^{2}$
negative_passages.docid: 17032
negative_passages.text: If $ab=ba$, Prove $a^2$ commutes with $b^2$
negative_passages.docid: 41300
negative_passages.text: Show $(x+y)^a > x^a + y^a$ for $x,y>0$ and $a>1$
negative_passages.docid: 39135
negative_passages.text: Representation of integers by ternary quadratic form $x^2+y^2-z^2$
negative_passages.docid: 53725
negative_passages.text: Factor $(x+y)^4+x^4+y^4$
negative_passages.docid: 12927
negative_passages.text: $A^2+B^2=AB$ and $BA-AB$ is non-singular
negative_passages.docid: 52517
negative_passages.text: Construction of $\mathbb{CP}^2$ from $S^2\times S^2$