Question

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Answer 1

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Answer 2

$)^{2}$Answer:

Identities which can be use are

(a + b)² = a² + 2ab + b²  

(a – b)² = a² – 2ab + b²  

(a – b)(a + b) = a² – b²

(x + a) (x + b) = x² + (a + b) x + ab

a² –b² = (a+b)(a-b)

Step-by-step explanation:

a)$91^{2}$

Formula used is

(a + b)² = a² + 2ab + b²  

Therefore$(90+1)^{2}$

$90^2$+2(90)X(1)+$1^{2}$

Therefore

8,100+180+1=8281

b)$89^{2}$

Formula used is

(a - b)² = a² - 2ab + b²  

or

(a + b)² = a² + 2ab + b²  (as shown above in a)

Taking another property (a - b)² = a² - 2ab + b²  

= (90 -1)²

= 90²- 2×90×1 + 1²              

= 8100 - 180 + 1

=7921

c)$202^{2}$

Formula used is

(a + b)² = a² + 2ab + b²  

$(200+2)^{2}$

=$200^{2}$+2(200)X(2)+$2^{2}$

=40000+800+4

=40804