Question

Using suitable identity, evaluate the following. 103³

(ii) 101 x 102 (iii) 999²​

Answer 1

Step-by-step explanation:

101*102=(100+1) (100+2)

(x+a) (x+b)= x²+x(a+b)+ab

10000+100(1+2)+1*2

10000+100(3)+2

10000+300+2

10302

(103)³=(100+3)³

(a+b)³= a³+b³+3ab(a+b)

1000000+9+3*100*3(100+3)

1000000+9+900(103)

1000000+9+92700

1,092,709

(999)²=(1000-1)²

(a-b)²=a²+b²-2ab

1000000+1-2*1000*1

1000000+1-2000

1000001-2000

998,001

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Answer 2

Answer:

PLEASE REFER TO THE ABOVE ATTACHMENT!!!!!

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