Choose the correct simplification of the expression −3x2(5x − 4x2 − 6).

(12 -15x³ + 18x²)

Step-by-step explanation:

We have to simplify the given expression -3x² (5x - 4x² - 6) By distributive property.

-3x² (5x - 4x² - 6) = (-3x²) (5x) - (-3x²) (4x²) -6 (-3x²)

= -15x³ + 12 + 18x²

= (12 -15x³ + 18x²)

Therefore, simplified form of the given expression is (12 -15x³ + 18x²)

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3