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Answer :
(i)Given:\( p^2 + 6p + 8\)
Here, 2 + 4 = 6 and \(2 \times 4 = 8\)
\(p^2 + 6p + 8\)
\(= p^2 + 2p + 4p + 8\)
\(= p (p + 2) + 4(p + 2)\)
\(= (p + 2) (p + 4)\)
(ii)Given: \(q^2 – 10q + 21\)
Here, 3 + 7 = 10 and \(3 \times 7 = 21\)
\(q^2 – 10q + 21\)
\(= q^2 – 3q – 7q + 21\)
\(= q(q – 3) – 7(q – 3)\)
\(= (q – 3) (q – 7)\)
(iii) Given:\(p^2 + 6p – 16\)
Here, 8 – 2 = 6 and \(8 \times 2 = 16\)
\(p^2 + 6p – 16\)
\(= p^2 + 8p – 2p – 16\)
\(= p(p + 8) – 2(p + 8)\)
\(= (p + 8) (p – 2)\)