Question

find the value of the following using suitable identities
a) (102)^2
b) (98)^2
c) (89)^2 - (11)^2
please answer me fast

Answer 1

Step-by-step explanation:

(102)^2= 102*102= 10,404

(98)^2=98*98=9,604

(89)^2 - (11)^2= 89*89-11*11=7,921-121=7,800

I hope my answer helps you☺☺

Answer 2

Step-by-step explanation:

a) 102 can be written as (100+2)

therefore, we have to find (100+2)² and property that is used here is (a+b)²= a²+b²+2ab

---> (100+2)²= 100²+ 2²+2(100×2)

---> 10,000 + 4 + 2(200)

---> 10,000 + 4 + 400

---> 10,404

b) 98 can be written as (100-2)

therefore, we have to find (100-2)² and property that is used here is (a-b)²= a²+b²-2ab

---> (100-2)²= 100²+ 2²- 2(100×2)

---> 10,000 +4 -2(200)

---> 10,000+ 4- 400

---> 9604

c) 89²- 11²= 89×89-11×11= 7,921-121=7,800

hope this helps :D