Question

Factorise the following
1) 16- p2-q2-2pq

Answer 1

16 - p² - q² - 2pq

= 16 - ( p² + q² + 2pq )

= 4² - ( p + q )²

= [ 4+(p+q)][4-(p+k)]

= ( 4+p+q)(4-p-k)

Therefore,

16 - p² - q²-2pq=(4+p+q)(4-p-k)

••••

Answer 2

Answer

=> 16-(p^2+q^2+2pq)

=>(4)^2 -(p+q)^2

=>[4+(p+q)][4-(p+q)]

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