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Without expanding at any stage, find the value of the determinant:

Mathematics20202 marksNumerical
Without expanding at any stage, find the value of the determinant: $\Delta = \begin{vmatrix} 20 & a & b + c \\ 20 & b & a + c \\ 20 & c & a + b \end{vmatrix}$

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Determinants

From ISC 2020 Mathematics Paper 1, question 1(iii).