Is this equation an identity? (2x+1)^2-(x+1)^2=3(x+1)^2-1

Question

asked May 7, 2023 209k views

1 Answer

Dave Gray · Answer 1 · 2023-05-13T20:30:38+0000

Answer:

See below, please

Explanation:

Left side

${(2x + 1)}^(2) - {(x + 1)}^(2)$

$= (4 {x}^(2) + 4x + 1) - ( {x}^(2) + 2x + 1)$

$= (4 {x}^(2) - {x}^(2) ) + (4x - 2x) + (1 -1 )$

$= 3 {x}^(2) + 2x$

Right side

$3 * {(x + 1)}^(2) - 1$

$= 3 * ( {x}^(2) + 2x + 1) - 1$

$= 3 {x}^(2) + 6x + 3 - 1$

$= 3 {x}^(2) + 6x + 2$

After compared with both sides, we can make a conclusion that

This equation isn't an identity.