What is (2x + 2)² and (3x -5)²

16 and -225

Step-by-step explanation:

2×2=4

then 4²=16

3×(-5)=-15

then-15²=-225

OK (2x+2) (2x+2)

4x²+4x+4x+4

4x²+8x+4 then we have (3x-5)²

(3x-5) (3x-5)

9x²-5x-15x-25

9x²-20x-25

if we add the two answers

9x²-20x-25+4x²+4x+4x+4=

13x²-12x-21

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: