Question

(2x + 8)(2x + 4)= 96

Answer 1

#ans is downward..........

Explanation:

2x(2x+4) +8(2x+4)=96

4x^2 + 8x + 16x +32 =96

4x^2 + 24x = 96 -32

4x^2 + 24x= 64

4x^2 + 24x -64 =0

2(2x^2 + 12x -32)=0

2x^2 + 12x -32 =0

2x^2 + (16-4)x -32 =0

2x^2 + 16x -4x -32=0

2x(x+8)-4(x+8)=0

(x+8)(2x-4)=0

Either,

x+8=0

x= -8

or,

2x-4=0

2x=4

x= 4÷2

x=2

Hence, the value of x are 2 and -8.

#Hope it helps.