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dedylja [7]
2 years ago
9

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

Mathematics
1 answer:
sergey [27]2 years ago
6 0

Answer:

See below, please

Step-by-step 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 \times  {(x + 1)}^{2}  - 1

= 3 \times ( {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.

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