Respuesta :

No this is not correct identity

  • (a+b)²
  • (a+b)(a+b)
  • a(a+b)+b(a+b)
  • a²+ab+ba+b²
  • a²+2ab+b²

Hence it's wrong

Answer:

Below!

Step-by-step explanation:

Let's simplify each side to determine if both sides are equal.

Left hand side of the equation:

  • Expression: (a + b)²

This expression can be simplified using the rule (x + y)² = x² + 2(x)(y) + y².

  • ⇒ a² + 2(a)(b) + b²

When opening the parenthesis, we get;

  • ⇒ a² + 2ab + b²

This expression cannot be simplified further as there are no like terms in the expression obtained.

Right hand side of the equation:

  • Expression: a² + b²

This expression cannot be simplified further as there are no like terms in the expression obtained.

Given equation:

  • (a + b)² = a² + b²

This can be rewritten as;

  • a² + 2ab + b² = a² + b² (False)

Therefore, it is impossible for a² + b² to be equivalent to a² + 2ab + b².

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