Here are the essential concepts you must grasp in order to answer the question correctly.
Multiplication of Monomials
Multiplying monomials involves multiplying their coefficients and adding the exponents of like variables. For example, when multiplying (3x^2)(4x^3), you multiply the coefficients (3 and 4) to get 12, and add the exponents of x (2 and 3) to get x^5, resulting in 12x^5.
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Simplifying Fractions
Simplifying fractions requires dividing both the numerator and the denominator by their greatest common factor (GCF). For instance, in the fraction 8/12, the GCF is 4, so dividing both by 4 simplifies it to 2/3. This process is essential for reducing expressions to their simplest form.
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Combining Like Terms
Combining like terms is the process of adding or subtracting terms that have the same variable raised to the same power. For example, in the expression 2x + 3x, both terms are like terms, and they can be combined to yield 5x. This concept is crucial for simplifying algebraic expressions.
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