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ludmilkaskok [199]
3 years ago
11

I need help with this problem please and thank you

Mathematics
2 answers:
iren2701 [21]3 years ago
5 0

Solution:

<u>Part - A:</u>

To factor a polynomial, take out the factors of each term outside of the brackets. The terms of this expression are divisible by x⁴ (GCF), which can factorize completely. This will subtract 4 from the exponents.

  • => x⁵ - x³
  • => x⁴(x - 1)

<u>Part - B:</u>

To factor a polynomial, take out the factors of each term outside of the brackets. The terms of this expression are divisible by 3 (GCF), which can factorize completely. This will divide 3 from the terms.

  • 3x² - 75
  • 3(x² - 25)
  • 3(x + 5)(x - 5)

<u>Part - C:</u>

To factor a polynomial, take out the factors of each term outside of the brackets. The terms of this expression are divisible by x²y (GCF), which can factorize completely.

  • 3x⁵y + 4x⁴y - 5x²y
  • => x²y(3x³ + 4x² - 5)

<u>Part - D:</u>

Unfortunately, this expression can't factor with rational numbers. The expression results in 81x³ - 125.

MatroZZZ [7]3 years ago
3 0

a) x^5-x^3

x^3\left(x^2-1\right) ........take out x³

x^3\left(x+1\right)\left(x-1\right) ......separated (x²-1)

b) 3x^2-75

3\left(x^2-25\right) ........took out 3.

3\left(x+5\right)\left(x-5\right)  .......separated (x²-25)

c) 3x^5y+4x^4y-5x^2y

x^2y\left(3x^3+4x^2-5\right) ............takeout x²y at the front.

d) 81x^3-125

81x^3-125 ......cannot be factorised much more further.

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3 years ago
Please help I do not understand
STatiana [176]

Answer:

The coefficients are;

1,28,378 and 3,276

Step-by-step explanation:

For the binomial expansion, when we talk of the coefficients, we mean the whole numbers that stands before the alphabets

For example, the coefficient of x in 2x is 2

Back to the question;

(x + y)^28

= 28C0 x^28y^0 + 28C1 X^27y^1 + 28C2 x^26y^2 + 28C3 x^25y^3 + ..........

So the coefficients we are looking for are;

28C0 = 1

28C1 = 28

28C2 = 378

28C3 = 3,276

Kindly note that 28C0 is read as 28 combination zero and so on

3 0
3 years ago
Which equation is equivalent to 2x + 10 = 6?
Olegator [25]

Answer:

B

Step-by-step explanation:

Given

2x + 10 = 6 ( divide all 3 terms by 2 )

x + 5 = 3 ← equivalent equation

5 0
3 years ago
What is (2 x10^-3) x (4x10^4)?
Grace [21]

im almost 100% sure its 8 x 10^1

8 0
3 years ago
5. Calculate the area of the shaded region in the diagram if ABCD is a rectangle. 8 B 4 A 5 3 6 8 D 9 3 C​
il63 [147K]

Answer: 61 unit^2

Step-by-step explanation:

ABCD is a rectangle with dimensions 12 by 11, for a total area of 132 (square units). Although I could determine the lengths of the parallel lines of the interior trapezoid from the data supplied, I'm lazy and decided, instead, to subtract from the total rectangle area the areas of the four right triangles formed outside the shaded area. The area of each triangle is (1/2)b*h, and we are given those dimensions on the figure.

The four triangle areas:

TriD = 36

TriA = 6

TriB = 20

TriC = 9

Total area = 71 square units.

Subtract this from the rectangle's area: 132 - 71 = 61 units^2

This is the area of the shaded trapezoid.

3 0
3 years ago
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