Answer:
The coefficients are
11,-4 and 0
Step-by-step explanation:
We are given two algebraic expressions. We are subtracting the second from the first.
First one is
[tex]4x^2y^3+2xy^2-2y[/tex]
Second expression is
[tex]-7x^2y^3+6xy^2-2y[/tex]
The given expression
=[tex]4x^2y^3+2xy^2-2y-(-7x^2y^3+6xy^2-2y)\\=4x^2y^3+2xy^2-2y+7x^2y^3-6xy^2+2y\\=11x^2y^3-4xy^2+0y[/tex]
The coefficients are
11,-4 and 0
The correct expression for required difference is [tex]11x^2y^3-4xy^2+0y[/tex] and the correct coefficients in the difference are 11 for [tex]x^2y^3[/tex], -4 for [tex]xy^2[/tex], and 0 for y.
Given:
The given expression is [tex](4x^2y^3 + 2xy^2 -2y) - (-7x^2y^3 + 6xy^2 - 2y)[/tex].
It is required to solve the given expression and write it in a simple form.
While solving, similar terms can be added or subtracted.
The given expression can be simplified as,
[tex](4x^2y^3 + 2xy^2 -2y) - (-7x^2y^3 + 6xy^2 - 2y)=4x^2y^3 + 2xy^2 -2y+7x^2y^3 - 6xy^2 + 2y\\(4x^2y^3 + 2xy^2 -2y) - (-7x^2y^3 + 6xy^2 - 2y)=x^2y^3(4+7)+xy^2(2-6)+y(-2+2)\\(4x^2y^3 + 2xy^2 -2y) - (-7x^2y^3 + 6xy^2 - 2y)=11x^2y^3-4xy^2+0y[/tex]
Therefore, the correct expression for the required difference is [tex]11x^2y^3-4xy^2+0y[/tex] and the correct coefficients in the difference are 11 for [tex]x^2y^3[/tex], -4 for [tex]xy^2[/tex], and 0 for y.
For more details, refer to the link:
https://brainly.com/question/9703245
