Simplify polynomial and radical expressions

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Learn it Expand brackets carefully and collect like terms. For radicals, simplify each root by taking out perfect-square factors, then combine like radicals (same number under the root).

Example: Simplify (2x − 3)(x + 4) − (x − 1)².

(2x − 3)(x + 4) = 2x² + 5x − 12. (x − 1)² = x² − 2x + 1.
Subtract: 2x² + 5x − 12 − x² + 2x − 1 = x² + 7x − 13.

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