Factor. x2 + 8x + 12 (x − 12)(x − 1) (x + 6)(x + 2) (x + 12)(x + 1) (x − 6)(x − 2)

Step-by-step explanation:

hello :

x² + 8x + 12 =(x² + 8x +16) -16+ 12

x² + 8x + 12 = (x+4)²-2² = (x+4-2)(x+4+2) by identity : a²-b² =(a-b)(a+b)

x² + 8x + 12 = (x-2)(x+6)

the answer is 5636.7

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions