Q. 54.1( 103 Votes )

Factorise the fol

Answer :

(i) P2 + 6p + 8


Here middle term 6p can be written as 4p + 2p


P2 + 6p + 8 = p2 + 4p + 2p + 8


Taking p common in first two terms and 2 common in last two terms


P2 + 6p + 8 = p2 + 4p + 2p + 8 = p(p + 4) + 2(p + 4) = (p + 4)(p + 2)


(ii) q2 - 10q + 21


Here middle term -10q can be written as   -7q - 3q


q2 - 10q + 21 = q2 - 7q - 3q + 21


Taking q common in first two terms and 3 common in last two terms


q2 - 10q + 21 = q2 - 7q - 3q + 21 = q(q - 7) - 3(q - 7) = (q - 3)(q - 7)


(iii) P2 + 6p - 16


Here middle term 6p can be written as 8p - 2p


P2 + 6p - 16 = p2 + 8p - 2p - 16


Taking p common in first two terms and 2 common in last two terms


P2 + 6p + 8 = p2 + 8p - 2p - 16 = p(p + 8) - 2(p + 8) = (p + 8)(p - 2)

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