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Question

Complete the table.


First Expression
Second Expression
Product
I)
a
b+c+d
.....
II)
x+y−5
5xy
.....
III)
p
6p2−7p+5
.....
IV)
4p2q2
p2−q2
.....
V)
a+b+c
abc
.....

A
(i) ab+ac+ad
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B
(ii) 5x2y+5xy225xy
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C
(iii) 6p37p2+5p
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D
(iv) 4p4q24p2q4
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E
(v) a2bc+ab2c+abc2
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Solution

The correct options are
A (i) ab+ac+ad
B (ii) 5x2y+5xy225xy
C (iii) 6p37p2+5p
D (iv) 4p4q24p2q4
E (v) a2bc+ab2c+abc2
We can complete the given table by multiplying the expressions as shown below:


First Expression Second Expression Product
(i) a b+c+d ab+ac+ad
(ii) x+y5 5xy 5x2y+5xy225xy
(iii) p 6p27p+5 6p37p2+5p
(iv) 4p2q2 p2q2 4p4q24p2q4
(v) a+b+c abc a2bc+ab2c+abc2


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