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Multiply vertically the extreme left digits is one pattern involved in multiplying algebraic expressions. Multiplying crosswise is another common pattern that is used.
There is no pattern.
Properties of operations, such as the commutative, associative, and distributive properties, can be used to manipulate expressions in ways that preserve their value while changing their form. By applying these properties systematically, one can generate equivalent expressions that are easier to work with or better suited to a specific problem. This can streamline the problem-solving process by simplifying complex expressions or rearranging terms to highlight patterns or relationships.
Oh, dude, it's like the pattern rule here is just adding 9, then multiplying by 3. So, you go from 5 to 14 by adding 9, then from 14 to 41 by multiplying by 3 and adding 5, and so on. But hey, who needs patterns when you have Netflix, am I right?
Inductive reasoning in geometry is mainly used with repetitive concepts or patterns. An example would be multiplying -7 by 2 using repeated addition, which is "-7+-7," to equal -14.