Factorize:-
8+6(p+q)-5(p+q)^2.
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Answer:
let (p+q) be x
so, =8+6x-5x^2
=8+(10-4)x-5x^2.... [LCM OF (5x4 is 20)]
=8+10x-4x-5x^2
=8-4x+10x-5x^2....[ rearranging the values]
=4(2-x)+5x(2-x)
=(2-x)(4+5x)
={2-(p+q)}{4+5(p+q)}.......[now replacing x with it's real value]
=(2-p-q)(4+5p+5q)
Step-by-step explanation:
THE ABOVE FACTORIZATION IS DONE BY THE PROCESS OF MIDDLE TERM FACTORIZATION
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