Simplify. Write answers from a,b,c in order and from x^2 r in order. (1) (-a+5b)+(4a-b)=-a+5b+4a-b=3a+9b (2) (-a+5b)-(4a+b)=-5a-4b (3) (-a-5b)+(4a-b)= (4) (-a-5b)-(4a-b)= (5) (-a+5b)+(-4a+b)= (6) (-a+5b)-(-4a-b)= (7) (2x^2+3x)+(2x+5)= (8) (5x^2+3x)-(2x+5)= (9) (-x^2-3x)+(-2x+5)= (10) (-3x^2-3x)-(-2x+5)=

## Step 1: Simplify expressions by combining like terms.<br />### We combine 'a' terms with 'a' terms and 'b' terms with 'b' terms. Similarly, we combine $x^2$ terms with $x^2$ terms, $x$ terms with $x$ terms, and constant terms with constant terms. Remember to distribute the negative sign when subtracting.<br /><br />## Step 2: Calculate (3)<br />### $(-a-5b)+(4a-b) = -a - 5b + 4a - b = 3a - 6b$<br /><br />## Step 3: Calculate (4)<br />### $(-a-5b)-(4a-b) = -a - 5b - 4a + b = -5a - 4b$<br /><br />## Step 4: Calculate (5)<br />### $(-a+5b)+(-4a+b) = -a + 5b - 4a + b = -5a + 6b$<br /><br />## Step 5: Calculate (6)<br />### $(-a+5b)-(-4a-b) = -a + 5b + 4a + b = 3a + 6b$<br /><br />## Step 6: Calculate (7)<br />### $(2x^{2}+3x)+(2x+5) = 2x^2 + 3x + 2x + 5 = 2x^2 + 5x + 5$<br /><br />## Step 7: Calculate (8)<br />### $(5x^{2}+3x)-(2x+5) = 5x^2 + 3x - 2x - 5 = 5x^2 + x - 5$<br /><br />## Step 8: Calculate (9)<br />### $(-x^{2}-3x)+(-2x+5) = -x^2 - 3x - 2x + 5 = -x^2 - 5x + 5$<br /><br />## Step 9: Calculate (10)<br />### $(-3x^{2}-3x)-(-2x+5) = -3x^2 - 3x + 2x - 5 = -3x^2 - x - 5$