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Chapter 6: Q. 231 (page 604)

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

Short Answer

Expert verified

The expansion of(n+5)2=n2+10n+25and is not equal ton2+25

Step by step solution

01

Step 1. Given information

The given expression is(n+5)2

02

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=n2+2脳n脳5+52=n2+10n+25

Thus, we can see that the expansion of the given expression is not equal ton2+25

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