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Evaluate the following products without multiplying directly:

Question

Evaluate the following products without multiplying directly:
(i) $103 \times 107$
(ii) $95 \times 96$
(iii) $104 \times 96$

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Charlotte Discussed

Evaluate the following products without multiplying directly:
(i)

103 \times 107

(ii)

95 \times 96

(iii)

104 \times 96

5 mins ago

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Text solutionVerified

(i)

103 \times 107

= (100 + 3) (100 + 7)

= (100)^{2} + (3 + 7) (100) + (3) (7)

= 10000 + 1000 + 21 = 11021

(ii)

95 \times 96

= (90 + 5) (90 + 6) = (90)^{2} + (5 + 6) (90) + (5) (6)

= 8100 + 990 + 30 = 9120

(iii)

104 \times 96

= (100 + 4) (100 - 4)

= (100)^{2} - (4)^{2}

= 10000 - 16 = 9984

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Question Text	Evaluate the following products without multiplying directly: (i) $103 \times 107$ (ii) $95 \times 96$ (iii) $104 \times 96$
Answer Type	Text solution:1
Upvotes	150