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To collect like terms, find terms that only differ by a coefficient in front of them and add or subtract them.
To multiply a single term over a bracket, multiply every term in the brackets by the term in front and add them.
To take out common factors, find the highest common power of every letter or number in the given terms, divide them by the factor and write it in front of the brackets.
To simplify a multiplication product, multiply all numbers by numbers, letters by letters, roots by roots and simplify the result.
To expand products of two binomials, multiply every term in the first brackets by every term in the second brackets.
To factorise an expression of a form x² + bx + c, find its roots and substitute them into (x – x₁)(x – x₂).
To expand products of two or more binomials, multiply every term in the first brackets by every term in the second brackets and do the same with additional factors.
To factorise an expression of a form ax² + bx + c, find its roots, substitute them into a(x – x₁)(x – x₂) and, if necessary, multiply a by one of the brackets to cancel fractions.
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