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factorise (a^2-3a)(a^2-3a+7)+10...

factorise `(a^2-3a)(a^2-3a+7)+10`

Text Solution

Verified by Experts

Let `a^2-3a = x`
Then, our polynomial becomes,
`x(x+7)+10`
`=x^2+7x+10`
`=x^2+5x+2x+10`
`=(x+5)(x+2)`
`=(a^2-3a+5)(a^2-3a+2)`
Now, `a^2-3a+5` will have no factor as discriminant is `-11` that is less than `0`.
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