Expansion and Factorisation of Algebraic Expressions
Example:
Expand and simplify each of the following expressions:
a) -3x (y+z) - 4x(2y-5z)
=-3xy - 3xz -8xy + 20xz (Distributive law)
=-3xy - 8xy -3xz + 20xz (Group like terms)
=-11xy + 17xz
b) 2x (x + 2y) + 3x(2x - 3y) = 2x² + 4xy + 6x² - 9xy (Distributive law)
= 2x² + 6x² + 4xy -9xy (Group like terms)
= 8x² -5xy
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