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Ques 1 - p² −17p−38
➡Breaking the middle term,
=p²−19p+2p−38
Factoring out p from the first two terms and 2 from the last two,
=p(p−19)+2(p−19)
Now, factoring out (p−19),
=(p+2)(p−19)
∴p 2 −17p−38=
(p+2)(p−19) ans.
Ques 2 -
We know that
a² − b² =(a+b)(a−b)
=(61−39)(61+39)
=22×100
=2200 Ans.
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