Question

Using distributive law, find the square of a) 47 b) 56

Answer 1

Answer:

i)2209

ii)3136

Step-by-step explanation:

(a+b)² = a² + 2ab + b²

i)47² = (40+7)²

       = 40² + 2(40)(7) + 7²

       = 1600 + 560 + 49

       = 2209

ii)56²= (50+6)²

        = 50² + 2(50)(6) + 6²

        = 2500 + 600 +36

        = 3136

Answer 2

Step-by-step explanation:

a. Identity Used »

(a + b)² = a² + 2ab + b²

Solution »

Square of 43

= 43²

= (40 + 3)²

= (40)² + 2(40) (3) + (3)²

= 1600 + 240 + 9

= 1849

Hence, the Square of 43 is 1849.

Here,

a² = (40)²

b² = (3)²

b. 53 x 53 = 1749