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Naily [24]
3 years ago
9

Please help with these problems! Will mark answer as brainliest and give 30 points. You have to show your work for each problem.

Mathematics
1 answer:
gulaghasi [49]3 years ago
4 0

Answer:

1) (2x + 2)(x + 2)

2)  2(x + 1)(x - 1)

3) (x^2 + 3)(x^2 - 3)

4) 2x(x + 5)(x - 2)

5) (5x + 2y)(5x - 2y)

Step-by-step explanation:

1)

2x^2 + 6x + 4

= 2x^2 + 4x + 2x + 4

= 2x(x + 2) + 2(x + 2)

= (2x + 2)(x + 2)

2)

2x^2 - 2

= 2(x^ 2 - 1) (The difference of two squares)

= 2(x + 1)(x - 1)

3)

x^4 - 9 (The difference of two squares)

=(x^2 + 3)(x^2 - 3)

4)

2x^3 + 6x^2 - 20x

= 2x(x^2 + 3x - 10)

= 2x(x + 5)(x - 2)

5)

25x^2 - 4y^2         (The difference of two squares)

= (5x + 2y)(5x - 2y)

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Which expression, when evaluated, has a result that is a natural number?
motikmotik

Answer:

option (C) and option (D)

√4 + 2

√256 · 0.125

Step-by-step explanation:

Natural numbers are positive integers

1)

√5 · 4

4√5

as √5 is not a perfect square

2)

√9 - 5

3 - 5

-2

3)

√4 + 2

2 + 2

4

4)

√256 · 0.125

16 (0.125)

16(125) {3 decimal places to left}

2000.0

2.0

2

4 0
3 years ago
The width of bergstroms dining room table is three feet shorter then the length. If the area of the tabletop is 28 square feet,
weeeeeb [17]
7*4=28
7-4=3
so the width is 4 feet and the length is 7 feet
6 0
3 years ago
CAN SOMEBODY ANSWER MY MATH QUESTIONS PLSSSSSSSSSSSSSSSSSSSSS
larisa86 [58]

Answer:

6

Step-by-step explanation:

5 0
3 years ago
A computer password contains six characters but does not permit repetition of any characters (either letters or numbers). If upp
Doss [256]

Answer:

\frac{62!}{56!}

Step-by-step explanation:

We can either look at all 62 characters (2 * 26 in the alphabet and 10 digits), choose 6 of them, and add the fact that we care about their order - so multiply by 6! and we get \binom{62}{6}\cdot 6! = \frac{62!}{6!\cdot 56!} \cdot 6! = \frac{62!}{56!}

Or, we can look atr all the permutations of all the characters and take into account that we DON'T care about the order of the 56 after the first six. Getting \frac{62!}{56!} immediately.

5 0
3 years ago
Why would you use the associative property of multiplication to solve (10x4)x2?
irga5000 [103]
10×4 +10×2. this would be the answer
4 0
4 years ago
Read 2 more answers
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