(b) $$ (\sqrt{x}+2 \sqrt{x})+(3 \sqrt{x}+4 \sqrt{x}) $$ (c) $$ (3 a+7 b-9)-(5 a+9 b+21) $$

Question

UpStudy AI · Accepted Answer

Let's simplify each expression step by step.

For (b): 
  (√x + 2√x) + (3√x + 4√x)

Step 1: Combine like terms in each set of parentheses.
  √x + 2√x = (1 + 2)√x = 3√x  
  3√x + 4√x = (3 + 4)√x = 7√x

Step 2: Now add the results:
  3√x + 7√x = (3 + 7)√x = 10√x

So, (b) simplifies to 10√x.

For (c): 
  (3a + 7b - 9) - (5a + 9b + 21)

Step 1: Distribute the subtraction (change the signs of all terms in the second parentheses):
  = 3a + 7b - 9 - 5a - 9b - 21

Step 2: Combine like terms:
  For a: 3a - 5a = -2a  
  For b: 7b - 9b = -2b  
  For constants: -9 - 21 = -30

Thus, (c) simplifies to -2a - 2b - 30.

These are your simplified expressions.
(b) $$ 10\sqrt{x} $$ (c) $$ -2a - 2b - 30 $$

(b) \( (\sqrt{x}+2 \sqrt{x})+(3 \sqrt{x}+4 \sqrt{x}) \) (c) \( (3 a+7 b-9)-(5 a+9 b+21) \)