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Which of the following is the value of the expression $(35 − 52) (45 + 32)$ ?

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20 − 1110

20 + 1110

30 − 1110

30 + 1110

answer is C.

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Detailed Solution

The given expression is,

(35 − 52) (45 + 32)

Apply the following laws of exponents:

a × b = a b

a × a = a

Therefore we have,

⇒ (35 − 52) (45 + 32) = 60 + 910 − 2010 − 30

⇒ 30 − 1110

Therefore, the value of the expression

(35 − 52) (45 + 32) = 30 − 1110 .

Hence, option (3) is correct.

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