Question

what must be added to 9x2 -24x+10 to make it a whole square​

Answer 1

Answer:

6 must be added.

Solution:

Given expression: 9x² - 24x + 10

We observe that:

9x² = (3x)²

24x = 2 * (3x) * 4

Thus, if we assume:

a = 3x and b = 4

(a - b)²

= (3x - 4)²

= a² - 2ab + b²

= (3x)² - 2*(3x)*(4) + (4)²

= 9x² - 24x + 16

Thus,

9x² - 24x + 16 is a whole square quantity. To get it, we need to add 6 to the given expression.