Math, asked by hajerabanu11, 1 year ago

Algebraic expression and identities:
Evaluate using identities:
(8.9)2[this for the whole square mark]
(0.9)2
[Urgent plz give me the answer with all steps and explanation on how to do because i am confused]


hajerabanu11: Can anyone give an answer fast plz
hajerabanu11: Its really urgent

Answers

Answered by jacky19
2
Hii...

consider,

we gave 89 instead of 8.9

by using (x+y)^2=x^2+2xy+y^2

(80+9)^2=6400+1440+81

=====7921

8.9^2===79.21

then,


9^2=(10-1)

10^2-2*10*1+1^2

==100-20+1

====81

now ,

0.9^2=8.1


hajerabanu11: But can u explain in this way like i have the answer but dont understand
hajerabanu11: soo (9.9)^2
hajerabanu11: ans=(10-0.1)=(10)^2 - 2(10)(0.1) +(0.1)^2=[then i dont know]
hajerabanu11: Actually i just understood ur answer
hajerabanu11: I still cant understand
hajerabanu11: Plz explain
Answered by swayam1410
1
Here is your answer :
We can solve this problem using - [a - b]^2 = a^2 - 2ab + b^2

1. 8.9^2
8.9 = 9 - 0.1
8.9^2 = [ 9 - 0.1 ]^2
8.9^2 = 9^2 - 2 × 9 × 0.1 + 0.1^2
= 81 - 0.18 + 0.01
= 79.21 [Ans]

2. 0.9^2
0.9 = 1 - 0.1
0.9^2 = [ 1 - 0.1 ]^2
0.9^2 = 1^2 - 2 × 1 × 0.1 + 0.1^2
= 1 - 0.2 + 0.01
= 0.81. [ Ans]

Hope you got your answer. ☺☺


hajerabanu11: How do u do the calculation for 81-0.81+0.01 thats the only step i cant understand
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