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DerKrebs [107]
3 years ago
6

What is the factored form of n2 – 25?

Mathematics
1 answer:
lesantik [10]3 years ago
3 0

Answer: (n + 5)(n - 5)

Explanation: In this problem, we have a binomial that's the difference of two squares because n² and 25 are both perfect squares and we are subtracting or taking the difference of these two squares.

Since the difference of two squares factors as the product of two binomials, we can setup our parenthses and in the first position, we use the factors of n² that are the same which are n · n.

In the second position, we use +5 and -5 as our factors of -25.

So our answer is (n + 5)(n - 5).

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Step-by-step explanation:

Find 2 numbers knowing sum (1) and product (-20). To find them, factor pairs of (-20) --> (-2,10) (-4,5). This sum is 1=b. Then, these 2 numbers are: - 4 and 5. Y=(x-4) (x+5). Hope this helped :)

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3 years ago
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3 years ago
Please helppppppppppp me so the problem its jessica said that the sum of −8+d is always positive when the value of d is greater
Alex_Xolod [135]
<h3>Answer: Sometimes true</h3>

========================================================

Explanation:

-8+d is positive only when d > 8

Here's why

-8+d > 0

-8+d+8 > 0+8 .... add 8 to both sides

d > 8

So if Jessica said "d is greater than 8", then her claim would always be correct.

However, her claim is sometimes true.

Two counter examples could be when d = 1 and d = 2.

If d = 1, then -8+d = -8+1 = -7 which isn't positive.

If d = 2, then -8+d = -8+2 = -6 which also isn't positive.

Basically if d is anything smaller than 8, then you'll have -8+d be negative.

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4 0
2 years ago
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