Question

(2x+2)/(x+2)=(x+2)/(x+4)

Answer 1

Answer:

$(2x + 2)(x + 2) = (x + 2)(x + 4)$

$2 {x}^{2} + 4x + 2x + 4 = {x}^{2} + 4x + 2x + 8$

4x & 2x will cancel out

$2 {x}^{2} + 4 = {x}^{2} + 8$

$2 {x}^{2} - {x}^{2} = 8 - 4$

${x}^{2} = 4$

${x}^{2} - 4 = 0$

$by \: \: \: \: \: \: {x}^{2} + {y}^{2} = (x + y)(x - y)$

$({x)}^{2} - {(2)}^{2}$

$= (x + 2)(x - 2)$

$(x + 2) = 0 \: \: \: \: \: or \: \: \: \: \: \: (x - 2) = 0$

$x = - 2 \: \: \: \: \: or \: \: \: \: \: x = 2$