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Expand the expression $\left(x+y\right)^2$ using the square of a binomial: $(a+b)^2=a^2+2ab+b^2$
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$x^{2}+2xy+y^{2}+2\left(x+y\right)+1$
Learn how to solve discriminant of quadratic equation problems step by step online. Find the discriminant of the equation (x+y)^2+2(x+y)+1. Expand the expression \left(x+y\right)^2 using the square of a binomial: (a+b)^2=a^2+2ab+b^2. The discriminant (D) of a quadratic polynomial of the form ax^2+bx+c is calculated using the following formula, where a, b and c are the coefficients of the corresponding terms. From the equation, we see that a=1, b=2x and c=x^{2}+1. Replacing the values of a, b and c in the previous formula, we obtain. Multiply 4 times -1.