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hjlf
3 years ago
13

(25b + 3)(25b – 3) Multiple the binomials.

Mathematics
1 answer:
kkurt [141]3 years ago
4 0
<h3>Answer:</h3>

\large\boxed{625b^2 - 9}

<h3>Step-by-step explanation:</h3>

In this question, we would need to solve the binomial to get an expression.

To do this, we need to multiply each number with each other. Starting from the inner numbers, up until the outer numbers are finished.

The equation we are using is:

(25b + 3)(25b - 3)

Now, you solve:

(25b + 3)(25b - 3)\\\\\text{Start by making your multiplication equations}\\\\\text{You woulkd be multplying:}\\\\25b * 25b\\\\25b * -3\\\\3 * 25b\\\\3*-3\\\\\text{Multiply:}\\\\25b * 25b=625b^2\\\\25b * -3=-75b\\\\3 * 25b=75b\\\\3*-3=-9\\\\\text{You would end up with:}\\\\625b-75b+75b-9\\\\\text{Now, you can just combine like terms}\\\\625b-75b+75b-9\\\\550b+75b-9\\\\\boxed{625b^2-9}

When you're done solving, you should get 625b² - 9

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>
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3 years ago
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What is the simplified form of x minus 5 over x squared minus 3x minus 10 ⋅ x plus 2 over x squared plus x minus 12?
andrezito [222]

The correct answer is C: 1/(x + 4)(x - 5)


   Why? Well, let's first simplify x^2 - 3x - 10 and x^2 + x - 12; the two denominators. Each of these should become an (x +/- number), and to figure out the number, as well as whether it is positive or negative, we can do a simple trick

Look at the factors of the right number (In this case, -10 and -12)

-10                   -12

1  * -10            1 * -12

-1 * 10             -1 * 12

-2 * 5             -2 * 6

2 * -5              2 * -6

                      -3 * 4

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Now for part 2

Which of these pairs add up to the middle number? One of the pairs of -10 should make -3, and likewise, one of the pairs of -12 should make 1 (when x has no number in front of it you may safely assume it is 1).

2 - 5 = -3 and 4 - 3 = 1, so we now know that the 2 fraction equations simplified is

x + 2 / (x + 2)(x - 5) * x - 3/(x -3)(x + 4)

Notice anything repeating? As long as they are apart of the same fraction, we can cross out anything that has the same x - number. Crossing out both x + 2 and x - 3, we now simply have x - 5 * x + 4. Because we crossed out both numerators, the top numbers both become 1, thus giving our answer, C.

8 0
4 years ago
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Step-by-step explanation:

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x = 1/2

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3 years ago
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Answer:

The answer is "0.9929"

Step-by-step explanation:

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