Question

Study the pattern in the subtractions given below. Find the rule and use it to extend to two
more subtractions.
(2 x 2) - (1x1) = 3
(3x3) - (2 x 2) = 5
(4 x 4) - (3x3) = 7
(5x5) - (4 x 4) = 9​

Answer 1

Answer:

11 and 13

Step-by-step explanation:

EXPLAINATION

(2x2)-(1x1)=3

In this first we multiply 2x2 and then subtract the product of 1x1 from the product of 2x2 = 2x2=4, 1x1=1. So 4 -1 is 3

(3x3)-(2x2)

In this first we multiply 3x3 and then subract the product of 2x2 from it = 3x3 =9 , 2x2=4. 9-4=5

Same like this we will add 1 to the left and right side at every step...

So next two will be

(6x6)-(5x5)

6x6=36,5x5=25. 36-25 =11

(7x7)-(6x6)

7x7=49,6x6=36. 49-36=13

Thus 11 and 13 are next two answers according to the question

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Answer 2

Step-by-step explanation:

(2 x 2) - (1x1) = 3

(3x3) - (2 x 2) = 5

(4 x 4) - (3x3) = 7

(5x5) - (4 x 4) = 9

(6×6) -(5×5)= 11

(7×7) - (6×6)= 13