3.5.21. Write the following positive definite quadratic forms as a sum of pure squares, as in (3.79): (a) 16x² + 25x², (b) x² - 2x₁x₂ + 4x²2, (c) 5x² + 4x₁x₂ + 3x², (d) 3x12x1x2 - 2x₁ x3 + 2x² +6x3, (e) x² + x₁x₂ + x² + x₂x3 + x², (f) 4x2x1x2 - 4x₁ x3 + 1/2x²2²-x₂x3 +6x², (g) 3x²+2x₁x₂+3x²+2x₂x3 +3x²+2x3 x4 + 3x².

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