1.) Multiply 2ab(−a+2b+3).(1 point) 8a2b2

−2a +2ab+3b

8ab

−2a2b+4ab2+6ab

2.) Simplify the polynomial using multiplication.

xy(3x2+2x−3y)

(1 point)

3x3y+2x2y−3xy2

3x3+2xy−3y

2x3y2

3x3+2x2−3y2

The area of a rectangle is given by the expression (x+3)(4x−2). Which of the following is an equivalent expression for the area?(1 point)

13x−2

4x2+14x+6

4x2+10x−6

14x−6

Multiply (x+2)(x2−3x +4)(1 point)

x3+5x2+10x+8

x3−x2−2x+8

x2−2x+6

2x2−6x+8

Simplify the polynomial using multiplication.

−5b(2a−3a2)

(1 point)

−10ba+15ba2

10ba−15ba2

−10a+3ba2

−5b+2a−3a2

(x+3)(4x−2)  =  4x2+10x−6

(x+2)(x2−3x +4) = x3−x2−2x+8

Step-by-step explanation:

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.