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Simplify the following expression: (x + 7)^2

a) x^2 + 14x + 49
b) x^2 - 14x + 49
c) x^2 + 49
d) x + 49

User Dearsina
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1 Answer

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Final answer:

The expression (x + 7)^2 is simplified to x^2 + 14x + 49 by applying the square of a binomial formula, which is a correct application of algebraic simplification.

Step-by-step explanation:

To simplify the expression (x + 7)^2, we need to apply the square of a binomial formula, which is (a + b)^2 = a^2 + 2ab + b^2. Here, a would be x, and b would be 7. Following the formula:

  • x^2: Squaring the first term x
  • 2*x*7 = 14x: Multiplying the first term x by the second term 7 and doubling the product
  • 7^2 = 49: Squaring the second term 7

Combining these, we get the simplified form x^2 + 14x + 49. Therefore, the correct answer is a) x^2 + 14x + 49.

It's important to eliminate terms wherever possible to simplify the algebra, and to check the answer to see if it is reasonable.

User Yorick De Wid
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