identify the like terms, explain how you know they are like
terms, and simplify the expressions:
10y + 3x + 10 + x -2y
3x - y + 4x + 6 - 2y
branlist to who ever gets it first

First expression         8y +4x +10

Second expression    7x-3y +6

If you want to combine both expressions: 5y +11x +16

Step-by-step explanation:

Like terms are the terms which have same variables and powers/roots.

Example: 7x and 2x are like terms because the variables are both "x". So we can combine in 9x

In an expression, only like terms can be combined. We combine like terms to shorten and simplify algebraic expressions, so we can work with them more easily. To combine like terms, we add the coefficients and keep the variables the same

10y + 3x + 10 + x -2y  

10y-2y=8y          3x+x=4x

so         8y +4x +10

3x - y + 4x + 6 - 2y

3x+4x=7x              -2y -y = -3y

so  7x-3y +6

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8