Question

what is the sum of the 4th square number and the 12th square number

Answer 1

Answer:

Difference of 1:

Difference of squares

Short cut calculation.

Pattem in calculation

3²-2²

3+2

4+3

4²-3²

5+4

5²-4²

10² - 9²

(3-2) x (3+2)

(4-3) x (4+3)

(5-4) x (5+4)

(10-9) x (10 +9)

(b-a) x (b + a)

10+9

1x (b + a)

Difference of 2:

Difference of squares

Short cut calculation

Pattem in calculation

4²-22

2x (4+2)

2x (5+3)

5²-3²

6²-4²

2x (6+4)

2 x (11 +9)

(4-2) x (4 + 2)

(5-3) x (5+3)

(6-4) x (6 + 4)

(11-9) x (11+9)

(b-a) x (b + a)

11²-9²

2x (b + a)

Difference of 3:

Difference of squares

Short cut calculation

Pattem in calculation.

5²-22

(5-2) x (5+2)

62-32

3x (5+2)

3x (6+3)

3x (7+4)

72-4²

(6 - 3) x (6 + 3)

(7−4) x (7 + 4)

(12−9) x (12 +9)

(b-a) x (b + a)

12²-9²

3x (12 +9)

3x (b + a)