DIVISION OF ONW ALGEBRAIC EXPRESSION BY ANOTHER.

i KNOW THIS MIGHT BE DIFFICULT TO UNDERSTAND BUT CAN SOMEONE HELP ME LEARN HOW TO DIVIDE THIS??
8X^3/4X=8/4*X^3/X=2/1*X^2/1=2*X^2 OR 2X^2

(8 x^3) /(4x) = (4*2*x*x^2)/(4 x)
The 4's and the x's cancel to give you
2 x^2

To divide two algebraic expressions, you can follow these steps:

1. Identify the dividend and divisor: In this case, the dividend is 8x^3 and the divisor is 4x.

2. Simplify both the dividend and divisor if possible. In this example, 8x^3 and 4x cannot be simplified further.

3. Rewrite the division as a multiplication problem by flipping the divisor and changing the division sign to multiplication: (8x^3) ÷ (4x) can be rewritten as (8x^3) * (1/4x).

4. Cancel out any common factors: In this case, the 4 in the divisor can be canceled out with one of the 8's in the dividend, leaving you with (2x^3) * (1/x).

5. Simplify further: The x in the denominator of the divisor can be canceled out with one of the x's in the numerator, resulting in (2x^2) * (1/1).

6. Finally, simplify the expression: Multiplying 2x^2 with 1/1 is equal to 2x^2.

So, the simplified form of (8x^3) ÷ (4x) is 2x^2.