evaluate 108 ×107 without multiplying directly
Answers
Answered by
1
Answer:
11556
Step-by-step explanation:
we will use the identity
(x+a)(x+b)=x²+(a+b)x+ab
hence,
108×107
=(106+2)(106+1)
=(106)²+(1+2)106+(1)(2)
=11236+(3)106+2
=11236+318+2
=11236+320
=11556
Answered by
2
Answer:
108 x 107
(100+8) (100+7)
Using identity (x + a) (x + b) x2 + (a+b)x + ab,
(x square)
where x= 100 , a= 8 , b= 7
100x100 + ( 8 +7 )100 + 8×7
10000 + 15× 100 + 56
10000+ 1500 + 56
11500+56
11556
hence 11556 is the answer.
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