Question
steps to simplify 4x^3∙3x^2/6x
Answers
Answered by
GPT 3.5
To simplify the expression 4x^3 * 3x^2 / 6x, you can follow these steps:
1. Multiply the coefficients: 4 * 3 = 12.
Now the expression becomes: 12x^3 * x^2 / 6x.
2. Simplify the like terms in the numerator:
Multiply the variables: x^3 * x^2 = x^(3+2) = x^5.
Now the expression becomes: 12x^5 / 6x.
3. Simplify the like terms in the denominator:
Divide the variables: x / x = x^(1-1) = x^0 = 1.
Now the expression becomes: 12x^5 / (6 * 1).
4. Simplify the coefficient and denominator:
12/6 = 2.
Now the expression becomes: 2x^5 / 1.
5. Remove the denominator:
Since dividing by 1 does not change the value, the expression simplifies to:
2x^5.
The simplified expression is 2x^5.
1. Multiply the coefficients: 4 * 3 = 12.
Now the expression becomes: 12x^3 * x^2 / 6x.
2. Simplify the like terms in the numerator:
Multiply the variables: x^3 * x^2 = x^(3+2) = x^5.
Now the expression becomes: 12x^5 / 6x.
3. Simplify the like terms in the denominator:
Divide the variables: x / x = x^(1-1) = x^0 = 1.
Now the expression becomes: 12x^5 / (6 * 1).
4. Simplify the coefficient and denominator:
12/6 = 2.
Now the expression becomes: 2x^5 / 1.
5. Remove the denominator:
Since dividing by 1 does not change the value, the expression simplifies to:
2x^5.
The simplified expression is 2x^5.