Question

Expand and simplify the expression[(2h + k)+3]²

Answer 1

Step-by-step explanation:

[(2h+k)+3]^2

compare with following formula

(a+b)^2=a^2+b^2+2*a*b

here

a=2h+k

b=3

=(2h+k)^2+3^2+2*(2h+k)*3

=4h^2+k^2+4hk+9+12h+6k

=4h^2+k^2+4hk+6k+12h+9

hope it will help u

Answer 2

Answer:

[ ( 2h + k ) + 3]²

[ 2h + k + 3 ]²

( 2h + k + 3 ) ( 2h + k + 3)

2h ( 2h + k + 3 ) + k ( 2h + k + 3 ) +3 ( 2h + k + 3 )

4h²+ 2hk + 6h + 2kh + k² + 3k + 6h + 3k + 9

4h² + 2hk + 2hk + 6h + 6h + k² + 3k + 3k + 9

4h² + 4hk + 12h + k² + 6k + 9

Answer:

4h² + 4hk + 12h + k² + 6k + 9