Question

Factorize it using identities
p^2-14x-72

Answer 1

Your question needs a correction.

Correct question : p^2 - 14p - 72


Given Equation : p^2 - 14p - 72

Now,
Splitting middle term ( i.e. 14 ) into two parts so that the product of those number become 72.

Parts satisfying the situation : 18 and - 4, as 18 + ( - 4 ) = 14



Then,

= > p^2 - ( 18 - 4 )p - 72

= > p^2 - 18p + 4p - 72

= > p( p - 18 ) + 4( p - 18 )

= > ( p - 18 )( p + 4 )



Hence,
p^2 - 14p - 72 in factorized form is ( p - 18 )( p + 4 )
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