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Question

Simplify each of the following expressions:
(i) (3+3)(2+2)
(ii) (3+3)(33)
(iii) (5+2)2
(iv) (52)(5+2)

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Solution

We know that, (A+B)(C+D)=A×(C+D)+B×(C+D)

=AC+AD+BC+CD

(i) (3+3)(2+2)=(6+23+32+6)

(ii) (5+2)2=(5+2+210)=(7+210)

(iii) (3+3)(33)=(93)=6

(iv) (52)(5+2)=(52)=3

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