Question

(4p+5q)^2 + 8(4p+5q) + 16
FACTORISE
PLEASE HELP ME IM STUCK ON THIS SINCE MORNING GUYS PLEASE

Answer 1

i have attached your answer

Answer 2

Answer:

( 4p + 5q + 4 )( 4p + 5q + 4 )

Step-by-step explanation:

Given equation is :-

( 4 p + 5 q )² + 8 ( 4 p + 5 q ) + 16

Split 8 into 4 + 4 :-

⇒ ( 4 p + 5 q )² + ( 4 + 4 ) ( 4 p + 5 q ) + 16

Multiply the value with 4 s :-

⇒ ( 4p + 8q )² + 4 ( 4p + 5q ) + 4 ( 4p + 5 q ) + 16

Take commons :-

⇒ ( 4p + 5q )( 4p + 5q + 4 ) + 4 ( 4p + 5q + 4 )

Now factorise the expression :-

⇒ ( 4p + 5q + 4 )( 4p + 5q + 4 )

This is the factorized expression :) .