Question

(4p+5q)²+8(4p+5q)+16. Plz solve it fast, tomorrow is my exam.

Answer 1

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

Let 4p + 5q = x

x^2 + 8x + 16

= x^2 + 4x + 4x + 16

= x ( x + 4 ) + 4 ( x + 4 )

= ( x + 4 ) ( x + 4 )

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