Question

1) (3х+у) – (-х-4у); 2) (х-у) +(х+у) – (2х+у); 3) 3(а-в)-2(а+в); 4) 4(х+у) +5(2х-у);

Answer 1

1) 3x+y+x+4у= 4x+5y
2) x-y+x+y=2x
3) 3a-3в-2а-2в= а-5в
4) 4х+4у+10х-5у=14х-у

Answer 2

Let's simplify each of the expressions step by step:

1. (3x + y) - (-x - 4y) = 3x + y + x + 4y (Remember that subtracting a negative is the same as adding the positive) = 4x + 5y

2. (x - y) + (x + y) - (2x + y) = x - y + x + y - 2x - y = (x + x - 2x) + (-y + y - y) = 0x + 0y = 0

3. 3(a - b) - 2(a + b) = 3a - 3b - 2a - 2b (Distribute the constants 3 and 2 into the parentheses) = (3a - 2a) + (-3b - 2b) = 1a - 5b = a - 5b

4. 4(x + y) + 5(2x - y) = 4x + 4y + 10x - 5y (Distribute the constants 4 and 5 into the parentheses) = (4x + 10x) + (4y - 5y) = 14x - y

So, the simplified expressions are:

1. 4x + 5y
2. 0
3. a - 5b
4. 14x - y