Which expression gives the area of the red rectangle.

a

(a + b)(c + d)

b

(a + b)(c - d)

c

(a + b)(c + d) - c(a + b) - bd

d

(a + b)(c + d) - d(a + b) - bd

Assumption:

The figure is not given in the question so in absence of figure it is difficult to tell exact answer. However in order to solve it we assume that Lenght of RED rectangle is (A+B) and width is (C+D).

The correct answer is A. (A+B)(C+D).

Step-by-step explanation:

The formula to calculate area of rectangle is = Lenght * Width

Area = L* W

(Putting values)

Area = (A+B)(C+D)

step-by-step explanation:

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.