56x^3y^5-40x^2y^6+8x^2y^3
To simplify the expression 56x^3y^5 - 40x^2y^6 + 8x^2y^3, we can combine like terms. Like terms have the same variables raised to the same powers.
In this expression, we have three terms: 56x^3y^5, -40x^2y^6, and 8x^2y^3.
To combine the terms, we need to combine the coefficients (the numbers in front of the variables) and the variables themselves.
Let's start by combining the coefficients. We have 56, -40, and 8.
56 - 40 + 8 = 24
Now, let's combine the variables. We have x terms and y terms.
For the x terms:
The first term has x raised to the power of 3,
the second term has x raised to the power of 2,
and the third term has x raised to the power of 2.
To combine the x terms, we add the exponents:
3 + 2 + 2 = 7
So, the combined x terms are x^7.
For the y terms:
The first term has y raised to the power of 5,
the second term has y raised to the power of 6,
and the third term has y raised to the power of 3.
To combine the y terms, we add the exponents:
5 + 6 + 3 = 14
So, the combined y terms are y^14.
Therefore, the simplified expression is:
24x^7y^14