Question

pSquare+10p+16 Solve quostion

Answer 1

Solution:

Given quadratic expression

p²+10p+16

Splitting the middle term, we get

= p² + 8p + 2p + 16

= p(p+8)+ 2(p+8)

= (p+8)(p+2)

Therefore,

p²+10p+16 = (p+8)(p+2)

••••

Answer 2

Solution:-

=) p² + 10p + 16 = 0

=) p² + ( 8 + 2)p + 16 = 0

=) p² + 8p + 2p + 16 = 0

=) p( p+8) + 2( p+8) = 0

=) ( p+8)(p+2) = 0

=) p = -8. and. p = -2.

Explanation:-

In Questions like this, we splitt the middle term such that the Sum of Splitted term is equal to the term from which It's splitted. And The Product of First and last term must be equal to the Product of Splitted term.

Ex:-

Middle term = 10p

After splitting, we get

( 8p + 2p) which is equal to 10p.

And Product of First and last term.

=) (1 × 16) must be equal to the Splitted term ( 8 ×2).