Question

ахс
9
.: (a x b)+ (a x c)
- 77
98
+
9x9x29x9x3
--77x3 +98 X2
-231+ 196 -35
9x9x2x3
486
486
(1) and (2) shows that ax(b+c) = (a xb)+(a xc).
Hence, multiplication is distributive over addition for the collection
Exercise 1.3
1. Verify the closure property for addition and multiplication fo
-5 8
rational numbers and
7 9
2. Verify the commutative property for addition and multiplicati
-10
the rational numbers
-8
and
11 33
3. Verify the associative​

Answer 1

Answer:

Let n^2 + 96 = x^2

⇒ x^2 – n^2 = 96

⇒ (x – n) (x + n) = 96

⇒ both x and n must be odd or both even

on these condition the cases are

x – n = 2, x + n = 48

x – n = 4, x + n = 24

x – n = 6, x + n = 16

x – n = 8, x + n = 12

and the solution of these equations can be given as

x = 25, n = 23

x = 14, n = 10

x = 11, n = 5

x = 10, n = 2

So, the required values of n are 23, 10, 5, and 2.

Answer is 4 values of n.