Question

Maria think of two consecutive whole numbers whose product is Y. Find the difference of square of the larger number and the smaller number.​

Answer 1

Difference of Square of 4 and 3 = 7

Step-by-step explanation:

Let these two number are 3,4.

Product of 3 and 4 = $3\times 4$

                                 = 12

Square of larger number = $(4)^2$                                          

                                         = 16

Square of the smaller number = $(3)^2$

                                                  = 9

Difference of Square of 4 and 3 = 16-9

                                                     = 7

*As there are infinite whole numbers,same method can be applied to them too,so the answer will vary.

Answer 2

Answer:

✓4y+1

Step-by-step explanation:

simple method -

take any two numbers say 2,3

product of 2,3 is 6 which is y

3²=9

2²=4

9-4=5

3²-2²=✓4y+1

5=✓4*6+1=✓25(hence proved)

therefore difference between square of two numbers whose product is y is ✓4y+1