Question

Solve all . its urgent

Answer 1

72²=(70+2)²
     =70²+2*70*2+2²
     =4900+280+4
     =5184

68²=(70-2)²
     =70²-2*70*2+2²
     =4900-280+4
     =4624

1002²=(1000+2)²
         =1000²+2*1000*2+2²
         =1000000+4000+4
         =1004004

98²=(100-2)²
     =100²-2*100*2+2²
     =10000-400+4
     =9604

92×88=(90+2)(90-2)
          =90²-2²
          =8100-4
          =8096

59²=(60-1)²
     =60²-2*60*1+1²
     =3600-120+1
     =3481

Answer 2

(i) 72²:
72 = (70 + 2)
72² = (70 + 2)²
= 70² + 2(2)(70) + 2²
= 4900 + 280 + 4
= 5184

(ii) 68²:
68 = (70 - 2)
68² = (70 - 2)²
= 70² - 2(70)(2) + 2²
= 4900 - 280 + 4
= 4624

(iii) 1002²:
1002 = (1000 + 2)
1002² = (1000 + 2)²
= 1000² + 2(1000)(2) + 2²
= 1000000 + 4000 + 4
= 1004004

(iv) 98²:
98 = (100 - 2)
98² = (100 - 2)²
= 100² - 2(100)(2) + 2²
= 10000 - 400 + 4
= 9604

(v) 92×88:
92 = (90+2), 88 = (90-2)
92×88 = (90+2)(90-2)
= 90² - 2²
= 8100 - 4
= 8096

(vi) 59²:
59 = (60 - 1)
59² = (60 - 1)²
= 60² - 2(60)(1) + 1²
= 3600 - 120 + 1
= 3481