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`(a^(2)+4b^(2)+4b-4ab-2a-8)` के गुणज है?

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`(a^(2)+4b^(2)+4b-4ab-2a-8)` के गुणज है?
A. `(a-2b-4)(a-2b+2)`
B. `(a-b-2)(a+2b+2)`
C. `(a+2b-4)(a+2b+2)`
D. `(a+2b-4)(a-2b+2)`
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1 Answer

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Correct Answer - A
`a^(2)+4b^(2)+4b-4ab-2a-8`
`=a^(2)-4ab+4b^(2)-2a+4b-8`
`=(a-2b)^(2)-2(a-2b)-8`
put `t=a-2b`
`=t^(2)-2t-8`
`=t^(2)-4t+2t-8`
`=t(t-4)+2(t-4)`
`=(t+2)(t-4)`
`=(a-2b-4)(a-2b+2)`
(Put the value of assume `t`)
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