Chapter 6: Q. 231 (page 604)

Explain why $n^{2} + 25 \neq {(n + 5)}^{2}$ . Use algebra, words, or pictures.

Short Answer

Expert verified

The expansion of ${(n + 5)}^{2} = n^{2} + 10 n + 25$ and is not equal to $n^{2} + 25$

Step by step solution

Step 1. Given information

The given expression is ${(n + 5)}^{2}$

Step 2. Explanation

We will use perfect square trinomial pattern that is using the pattern ${(a + b)}^{2}$ .

Substitute the values in the above pattern and expand,

${(n + 5)}^{2} = {(n)}^{2} + 2 \times n \times 5 + {(5)}^{2} = n^{2} + 10 n + 25$

Thus, we can see that the expansion of the given expression is not equal to $n^{2} + 25$

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Explain why $n^{2} + 25 \neq {(n + 5)}^{2}$ . Use algebra, words, or pictures.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Explanation

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Explain why n2+25≠(n+5)2. Use algebra, words, or pictures.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

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Study anywhere. Anytime. Across all devices.

Explain why $n^{2} + 25 \neq {(n + 5)}^{2}$ . Use algebra, words, or pictures.