Which term completes the product so that it is the difference of squares?

Mathematics

1 answer:

n200080 [17]3 years ago

6 0

Answer:

(-5x - 3)(-5x + 3)

Step-by-step explanation:

Difference of squares is a special type of factoring when you are subtracting two numbers that are perfect squares. Perfect squares are numbers that, when you find its square root, it is a whole number.

Difference of squares follows this rule:

a² - b² = (√a² - √b²)(√a² + √b²) = (a - b)(a + b)

Notice in the factored form, you take the same number in both brackets. In one set of brackets you add the numbers. In the other brackets, you subtract the numbers.

In (-5x - 3)(-5x + __), the blank in the second bracket will use the same number as the second number in the first brackets.

(-5x - 3)(-5x + 3)

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What are the explicit equation and domain for an arithmetic sequence with a first term of 8 and a second term of 5?

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Answer:

Option C.

Step-by-step explanation:

It is given that the first term of the arithmetic sequence is 8 and second term is 5.

$a=8$

$d=5-8=-3$

We know that the explicit equation of an AP is

$a_n=a+(n-1)d$ , where n is an integer greater than or equal to 1.

where, a is first term and d is common difference.

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So, domain of this explicit equation is all integers where n ≥ 1.

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Work out the total change:

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Divide this by the number of days:

30/5 = 6

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Thus, the answer is option B