(1/8xy - 3/5x³y² + 4.3y³) + (-1/3xy - 3/4x³y² - 2.9y³)
What is the correct answer?
Thank you! :-)
just add the terms together.
you have two of each type of term. treat it just like a normal addition subtraction problem.
-(27x^(3)y^(2))/(20)+1.4y^(3)+(11xy)/(24)
I got
-(5/24)xy-(27/20)x^3y^3+1.4y^3
Notice that the xy terms are of two DIFFERENT values. 1/8xy-1/3xy=-5/24xy That was your mistake.
To find the correct answer, we need to simplify the expression by combining like terms.
The given expression is:
(1/8xy - 3/5x³y² + 4.3y³) + (-1/3xy - 3/4x³y² - 2.9y³)
To simplify the expression, we need to focus on the terms that have the same variables raised to the same powers.
Starting with the terms that have "xy," we have:
1/8xy + -1/3xy
To add these two fractions, we need to find a common denominator. In this case, the common denominator is 24xy, which is the least common multiple of 8xy and 3xy.
To convert 1/8xy to have a denominator of 24xy, we multiply both the numerator and denominator by 3y:
1/8xy * (3y/3y) = 3y/24xy
To convert -1/3xy to have a denominator of 24xy, we multiply both the numerator and denominator by 8:
-1/3xy * (8/8) = -8/24xy
Now that both fractions have a common denominator of 24xy, we can combine them:
3y/24xy + -8/24xy = (3y - 8) / 24xy
Next, let's combine the terms with "x³y²" variable:
-3/5x³y² + -3/4x³y²
Similarly, we need to find a common denominator for these two fractions. The least common multiple for 5 and 4 is 20.
To convert -3/5x³y² to have a denominator of 20x³y², we multiply both the numerator and denominator by 4:
-3/5x³y² * (4/4) = -12/20x³y²
To convert -3/4x³y² to have a denominator of 20x³y², we multiply both the numerator and denominator by 5:
-3/4x³y² * (5/5) = -15/20x³y²
Now that both fractions have a common denominator of 20x³y², we can combine them:
-12/20x³y² + -15/20x³y² = (-12 - 15) / 20x³y² = -27/20x³y²
Lastly, let's combine the terms with "y³" variable:
4.3y³ + -2.9y³ = (4.3 - 2.9)y³ = 1.4y³
Now, let's put it all together:
(1/8xy - 3/5x³y² + 4.3y³) + (-1/3xy - 3/4x³y² - 2.9y³) = (3y - 8) / 24xy + -27/20x³y² + 1.4y³
This is the simplified form of the expression.