8 + 6 (p+q)-5 (p+q)^2
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Answered by
27
8+6 (p+q)-5 (p+q)^2
let (p+q)=t
8+6t-5t^2
=> -{5t^2-6t-8}
=> -{5t^2-10t+4t-8}
=>-{(5t+4)(t-2)}
put t=p+q
-{5 (p+q)+4}{(p+q)-2}
=>{5 (p+q)+4}{2-(p+q)}
let (p+q)=t
8+6t-5t^2
=> -{5t^2-6t-8}
=> -{5t^2-10t+4t-8}
=>-{(5t+4)(t-2)}
put t=p+q
-{5 (p+q)+4}{(p+q)-2}
=>{5 (p+q)+4}{2-(p+q)}
mysticd:
Remove implies and put = symbols
Answered by
59
Let p+q=a---(1)
8+6(p+q)-5(p+q)^2
=8+6a-5a^2
=8-4a+10a-5a^2
=4(2-a)+5a(2-a)
=(2-a)(4+5a)
From(1)
=[2-(p+q)][4+5(p+q)]
=(2-p-q)(4+5p+5q)
8+6(p+q)-5(p+q)^2
=8+6a-5a^2
=8-4a+10a-5a^2
=4(2-a)+5a(2-a)
=(2-a)(4+5a)
From(1)
=[2-(p+q)][4+5(p+q)]
=(2-p-q)(4+5p+5q)
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