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MULTIPLICATION OF ALGEBRAIC EXPRESSIONS IN MONOMIAL

__MULTIPLICATION OF ALGEBRAIC EXPRESSIONS IN MONOMIAL -__

**Multiplying algebraic expressions that consist of monomials is relatively straightforward. A monomial is a single term that may include variables raised to integer exponents and coefficients. To multiply two monomials together, you can follow these general steps:**

__Multiply the coefficients:-__Multiply the numerical coefficients (numbers in front of the variables) of the two monomials.__Multiply the variables:-__If the monomials have variables with the same base, add the exponents of those variables together. If the bases are**different, leave them as separate terms.**__Combine like terms:-__If there are multiple terms with the same variable base, combine them by adding or subtracting their coefficients.

**Here's an example to illustrate these steps:-**

**Example.1) Let's multiply the monomials 3x² and 4x³.**

__Multiply the coefficients:-__3 * 4 = 12.__Multiply the variables:-__For the variable x, add the exponents: 2 + 3 = 5. So, you have x⁵.__Combine like terms:-__There are no other terms with the same variable base, so you're done.

**The product of 3x² and 4x³ is 12x⁵. (Ans.)**

**Here's another example with different bases:-**

**Example.2) Multiply 2a³ and 5b².**

__Multiply the coefficients:-__2 * 5 = 10.__Multiply the variables:-__For the variable a, the exponent is 3. For the variable b, the exponent is 2.__Combine like terms:-__There are no other terms to combine because a and b are different variables.

**The product of 2a³ and 5b² is 10a³b². (Ans.)**