Simplify:
3xy + 6x^2 4xy - 2y^2
___________ ____________
* then
2y 9x^2 y^2
/ (divide by) 4x^2 - y^2
Thank you so much!! :)))
let me rewrite it again
3xy + 6x^2 4xy - 2y^2
___________ ___________
*
2y 9x^2 y^2
then
divide it by (4x^2 - y^2)
the first fraction
3xy + 6x^2
___________
2y
then multiply to other fraction
4xy - 2y^2
___________
9x^2 y^2
divide by (4x^2 - y^2)
sorry for the errors and please answer me.
write it like this:
(3xy + 6x^2)/(2y) * (4xy - 2y^2)/(9x^2 y^2) * 1/((4x^2 - y^2)
factor it ...
= 3x(y + 2x)/(2y) * 2y(2x - y)/(3xy)^2 * 1/((2x-y)(2x+y))
= 1/(3x y^2)
To simplify the expression (3xy + 6x^2) / (2y) * (4xy - 2y^2) / (9x^2y^2) and then divide by (4x^2 - y^2), we can follow these steps:
Step 1: Simplify the numerator and denominator separately:
Numerator: (3xy + 6x^2) * (4xy - 2y^2)
- Multiply each term of the first expression (3xy + 6x^2) by each term of the second expression (4xy - 2y^2).
- Use the distributive property and combine like terms if possible.
Denominator: (2y) * (9x^2y^2)
- Multiply each term of the first expression (2y) by each term of the second expression (9x^2y^2).
- Use the distributive property and combine like terms if possible.
Step 2: Now, divide the numerator by the denominator:
(3xy + 6x^2) * (4xy - 2y^2) / (2y) * (9x^2y^2) = [numerator] / [denominator]
- Perform the multiplication in the numerator.
- Perform the multiplication in the denominator.
Step 3: Divide the resulting expression by (4x^2 - y^2):
([numerator] / [denominator]) / (4x^2 - y^2)
- Divide the numerator by the denominator.
- Use the rules of division to simplify the expression.
Please note that I am assuming your intention is to divide the entire expression by (4x^2 - y^2) at the end. If you have any specific values for x and y, you can substitute them in the steps above to get the numerical result of the expression.