subtract
(4x^2+7x^3y^2)-(-6x^2-7x^3y^2-4x)-(10x+9x^2)
To subtract the given expression:
(4x^2 + 7x^3y^2) - (-6x^2 - 7x^3y^2 - 4x) - (10x + 9x^2),
Let's simplify each term individually and then subtract them.
First term: (4x^2 + 7x^3y^2)
There are no like terms to combine with, so this term remains as is.
Second term: (-6x^2 - 7x^3y^2 - 4x)
Again, there are no like terms to combine with, so this term remains as is.
Third term: (10x + 9x^2)
Here, we can combine the like terms: 10x + 9x^2 = 9x^2 + 10x.
Now let's substitute these simplified terms back into the original expression:
(4x^2 + 7x^3y^2) - (-6x^2 - 7x^3y^2 - 4x) - (10x + 9x^2)
= (4x^2 + 7x^3y^2) + (6x^2 + 7x^3y^2 + 4x) - (9x^2 + 10x)
Now, let's combine the like terms within each set of parentheses:
(4x^2 + 7x^3y^2) + (6x^2 + 7x^3y^2 + 4x) - (9x^2 + 10x)
= 4x^2 + 7x^3y^2 + 6x^2 + 7x^3y^2 + 4x - 9x^2 - 10x
Now we can combine the like terms in the entire expression:
4x^2 + 7x^3y^2 + 6x^2 + 7x^3y^2 + 4x - 9x^2 - 10x
= (4x^2 + 6x^2 - 9x^2) + (7x^3y^2 + 7x^3y^2) + (4x - 10x)
= x^2 + 14x^3y^2 - 6x.
Therefore, the simplified expression after subtracting is x^2 + 14x^3y^2 - 6x.