Multiplication is the process of multiplying. The multiplication of (a-b) by (2b-a) results in 3ab-a²-2b².
What is multiplication?
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
An expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context. The multiplication of the two given expressions (a-b) and (2b-a) can be done as shown below,
(a-b) × (2b-a)
= a(2b-a) -b(2b-a)
= (a × 2b) - (a × a) - (b × 2b) + (b × a)
= 2ab - a² - 2b² + ab
= -a² -2b² + 3ab
= 3ab -a² -2b²
Hence, the multiplication of (a-b) by (2b-a) results in 3ab-a²-2b².
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