Question

Factorize p2

– 13p – 30 using identity.​

Answer 1

product of first term and last term= p^2 × 30= 30p^2

we have to split 30p^2 into two numbers such that their product will 30p and their sum will 13p

Now,

p2-13p-30p=

p2-2p-15p-30

=p(p-2)+15(p-2)

=(p+15) (p-2) Ans

Answer 2

$p^2-13p-30=(p-15)(p+2)$

Step-by-step explanation:

Given : Expression $p^2-13p-30$

To find : Factorize using identity ?

Solution :

Factorize the expression by middle term split,

$p^2-13p-30=p^2-15p+2p-30$

$p^2-13p-30=p(p-15)+2(p-15)$

$p^2-13p-30=(p-15)(p+2)$

Therefore, $p^2-13p-30=(p-15)(p+2)$

#Learn more

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