Question

what must ne added to 9x²-24x+10 to make it a perfect square?​

Answer 1

Answer:

6

Step-by-step explanation:

1. given $9x^{2} -24x+10$ which is  $3^2x^{2} -2*(3x)*4+10$  this is clearly pointing to the format (a-b)^2
2. Here our a=3x and from the second term b=4
3. so the b^2 term =16
4. hence we should add 6 to the expression to make it a perfect square

Answer 2

Answer:

9x² – 24x + 10

= (3x)² – 23x4 + (4)² – (4)² + 10

= (3x – 4)² – 16 + 10

= (3x – 4)² – 6

So, 6 must be added to make it a perfect square.