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Question:

Complete the table. First expression Second expression Product
(i) ab+c+d
(ii) x+y
(iii) p6p2p+5
(iv) 4p2q2p2-q2
(v) a+b+c abc

Solution:

(i) a(b+c+d) = ab+ac+ad
(ii) (x+y)5xy = 5x²y + 5xy²
(iii) p(6p²p+5) = 6p³ + 5p
(iv) 4p²q²(p²-q²) = 4p⁴q² - 4p²q⁴
(v) (a+b+c)abc = a²bc + ab²c + abc²