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Multiply the single term $x^2+2xh+h^2$ by each term of the polynomial $\left(2x-3\right)$
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$2x\left(x^2+2xh+h^2\right)-3\left(x^2+2xh+h^2\right)$
Learn how to solve discriminant of quadratic equation problems step by step online. Find the discriminant of the equation (2x-3)(x^2+2xhh^2). Multiply the single term x^2+2xh+h^2 by each term of the polynomial \left(2x-3\right). Multiply the single term -3 by each term of the polynomial \left(x^2+2xh+h^2\right). 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=-6h and c=-3h^2. Replacing the values of a, b and c in the previous formula, we obtain.