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WHAT ARE MATHEMATICAL EXPRESSION OF:The square of the sum of a number and four is zeroThe square of a number increased by four is zero.The square twice the sum of a number and four is zero.The square of four more than the square of a no. is zero.

Question

WHAT ARE MATHEMATICAL EXPRESSION OF:The square of the sum of a number and four is zeroThe square of a number increased by four is zero.The square twice the sum of a number and four is zero.The square of four more than the square of a no. is zero.

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Solution

To find the mathematical expressions for the given statements, let's break them down step by step:

  1. The square of the sum of a number and four is zero: Let's assume the number is represented by 'x'. The square of the sum of 'x' and four can be written as (x + 4)^2. So, the mathematical expression for this statement is (x + 4)^2 = 0.

  2. The square of a number increased by four is zero: Let's assume the number is represented by 'x'. The square of 'x' increased by four can be written as x^2 + 4. So, the mathematical expression for this statement is x^2 + 4 = 0.

  3. The square twice the sum of a number and four is zero: Let's assume the number is represented by 'x'. The square of twice the sum of 'x' and four can be written as (2(x + 4))^2. So, the mathematical expression for this statement is (2(x + 4))^2 = 0.

  4. The square of four more than the square of a number is zero: Let's assume the number is represented by 'x'. The square of four more than the square of 'x' can be written as (x^2 + 4)^2. So, the mathematical expression for this statement is (x^2 + 4)^2 = 0.

Please note that these mathematical expressions represent the given statements, but they may not necessarily have real solutions.

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