Similarly, determine and explain which of the other expressions always give even numbers. Write a couple of examples Class 8

Similarly, determine and explain which of the other expressions always give even numbers. Write a couple of examples Class 8

Question 1.

Similarly, determine and explain which of the other expressions always give even numbers. Write a couple of examples and non-examples, as appropriate, for each expression. Class 8

Solution:

2a + 2b : 2a + 2b will always give an even number, because 2a and 2b are both even.

3g + 5h : 3g + 5h will always not give an even number. For example, for g = 1 and h = 2, 3g + 56 = 3 × 1 + 5 × 2 = 13.

4m + 2n: 4m + 2n will always give an even number, because 4m and 2n are both even.

2u - 4v : 2u - 4v will always give an even number, because 2u and 4v are both even.

6m - 3n : 6m — 3n will always not give an even number. For example, for m - 2 and n = 3, 6m — 3n = 6 × 2 — 3 × 3 = 3.

x² + 2 : x² + 2 will always not give an even number. For example, for x = 3, x² + 2 = 9 + 2 = 11.

b² + 1 : b² + 1 will always not give an even number. For example, for b = 2, b² + 1 = 4 + 1 = 5.

4k × 3j : 4k × 3j = 12kj will always give an even number, because 12 is a multiple of 2.