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Irina18 [472]
2 years ago
10

Factor the binomial 9t to second power,-4 =

Mathematics
1 answer:
Naily [24]2 years ago
3 0

Using subtraction of perfect squares, it is found that the factored expression is:

9t² - 4 = (3t - 2)(3t + 2).

<h3>What is the subtraction of perfect squares factoring?</h3>

It is given as follows:

a^2 - b^2 = (a - b)(a + b)

In this problem, the binomial is given as follows:

9t² - 4.

Hence:

  • a² = 9t² -> a = 3t.
  • b² = 4 -> b = 2.

Hence the factored expression is:

9t² - 4 = (3t - 2)(3t + 2).

More can be learned about subtraction of perfect squares at brainly.com/question/16948935

#SPJ1

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Simplify the expression
kow [346]

Answer:

<h3>           f(x) = 5x² + 2x</h3><h3>           g(x) = 6x - 6</h3>

Step-by-step explanation:

\dfrac{5x^3-8x^2-4x}{6x^2-18x+12}\\\\6(x^2-3x+2)\ne0\ \iff\ x=\frac{3\pm\sqrt{9-8}}{2}\ne0\ \iff\ x\ne2\ \wedge\ x\ne1\\\\\\\dfrac{5x^3-8x^2-4x}{6x^2-18x+12}=\dfrac{x(5x^2-8x-4)}{6(x^2-3x+2)}=\dfrac{x(5x^2-10x+2x-4)}{6(x^2-2x-x+2)}=\\\\\\=\dfrac{x[5x(x-2)+2(x-2)]}{6[x(x-2)-(x-2)]} =\dfrac{x(x-2)(5x+2)}{6(x-2)(x-1)}=\dfrac{x(5x+2)}{6(x-1)}=\dfrac{5x^2+2x}{6x-6}\\\\\\f(x)=5x^2+2x\\\\g(x)=6x-6

4 0
2 years ago
Consider the vector add = a + b = [13 12 11 10 10] and sub = a - b = [-11 - 6 - 14 8]. Find the vector a and b.
prisoha [69]

Answer:

a = [1   3   5   7   9] and b = [12   9   6   3   1]

Step-by-step explanation:

The addition of two vectors a and b is defined as

a + b = [13   12   11   10   10]                .... (1)

The subtraction of two vectors a and b is defined as

a - b = [-11   - 6   - 1   4    8]                 .... (2)

After adding (1) and (2), we get

(a + b) + (a - b)= [13   12   11   10   10] + [-11   - 6   - 1   4    8]

On simplification we get

2a = [13-11   12-6   11-1   10+4   10+8]

2a = [2   6   10   14   18]

Divide both sides by 2.

a = [1   3   5   7   9]

Substitute the value of vector a in equation (1).

[1   3   5   7   9] + b = [13   12   11   10   10]

Subtract vector a from both sides.

b = [13   12   11   10   10] - [1   3   5   7   9]

On simplification we get

b = [13-1   12-3   11-5   10-7   10-9]

b = [12   9   6   3   1]

Therefore the vectors a and b are defined as a = [1   3   5   7   9] and b = [12   9   6   3   1].

4 0
2 years ago
Simplify into one fraction. -5x/x-3 - 7/x+3
Alexxandr [17]
-5x(x+3)-7(x-3)/x^2-9= -5x^2-15x-7x+21/x^2-9= -5x^2-22x+21/x62-9
4 0
3 years ago
Read 2 more answers
Just answer quickly <br> 3x - 7y + 5x -1 + 4y
Gennadij [26K]

8x + -3y -1 (simplified)


5 0
3 years ago
Read 2 more answers
A man walks 10 km, then travels a certain distance by train and then by bus as far as twice by the train. If the whole journey i
Nostrana [21]

Answer:

The man traveled 20km by train.

Step-by-step explanation:

If x is the distance he traveled by train, you can write this equation to represent the situation:

10+x+2x=70

Then, you can simply solve for x:

10+3x=70\\3x=60\\x=20

The man traveled 20km by train.

10+(20)+2(20)=70\\10+20+40=70\\70=70

3 0
2 years ago
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