Question

Q.evaluate each of the following by using identities. a)103 X 107 and b) 95 X 96

Answer 1

A) 103×107
(100 + 3) × (100+7)
USING (X+A)(X+B)=X^2+(A+B)X+ AB
=(100^2+(100+3)100+3×100)×(100^2+(100+7)100+100×7
=(10000+10300+300)×(10000+10700+700)
=20600×21400
=440,840,000

B)95×96
=(90+5)(90+6)
USING THE SAME IDENTITY,
=(90^2+(5+90)90+5×90)(90^2+(6+90)90+90×6)
=17,100×17,280
=295,488,000





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Answer 2

♡☆{STEP WISE ANSWER}♡☆

= { 103×107 }

=《100+3》× 《100+7》

=(x+a)(x+b)= x square ( a+b )x +ab

={100 square +{3+7} [100] + [7×3]

=《1000+1000+21》

= (11021)

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