Question

WILL GIVE BRAINLIEST

Answer 1

Answer:

$1.5x^2+6x+6$

Step-by-step explanation:

Collect 1.5 from everything, noticing that $6= 1.5\times 4)$

$1.5(x^2+4x + b^2)$

Now let's remember that the square of a binomial is $(x+b)^2 = x^2+2xb+b^2$, confronting with what we have inside the bracket, $2bx = 4x \implies b=2$

Our completed bynomial becomes $1.5(x^2+4x+4) = 1.5x^2+6x+6$

Answer 2

Answer:

1.5x² + 6x + 6

Step-by-step explanation:

1.5x² + 6x + ? = a(x + b)²

a = 1.5

2ab = 6

ab = 3

b = 3/1.5

b = 2

So, inputting all the values :-

a(x + b)²

1.5(x + 2)²

1.5(x² + 4x + 4)

1.5x² + 6x + 6