Factorise the given expressions
(i) p2 -q
a2+6a+8
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Answer:
(I) p²-q then p=-√q,+√q
(II)a²+6a+8 then a=-2,-4
Step-by-step explanation:
(I) let f(p)=p²-q
p²-q = p²-(√q)²
= (p-√q)(p+√q)
;put f(p)=0
;(p-√q)(p+√q) = 0
;Then ,
p= -√q,+√q
(II) let f(x) = a²+6a+8
= a²+(4a+2a)+8
= a²+4a+2a+8
= a(a+4)+2(a+4)
=(a+4)(a+2)
;put f(x) = 0
; (a+4)(a+2)=0
;Then ,
a= -4,-2
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