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Eddi Din [679]
2 years ago
7

Factor the expression below 36a^2-25b^2

Mathematics
2 answers:
Delicious77 [7]2 years ago
6 0

Answer:

6a+5b

Step-by-step explanation:

just olya [345]2 years ago
3 0

Answer:

(6a + 5b)(6a - 5b)

Step-by-step explanation:

Rewrite the expression in the form of a² - b²:

(6a)² - (5b)²

Use the difference of squares (a² - b² = (a + b)(a - b)):

(6a + 5b)(6a - 5b)

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Find the squares of (y+3) ​
emmasim [6.3K]

Answer:

Since we know that

(a+b)

2

=a

2

+2ab+b

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(a−b)

2

=a

2

−2ab+b

2

Now,

(i)

(x+3y)

2

=x

2

+2×x×3y+(3y)

2

=x

2

+6xy+9y

2

(ii)

(2x−5y)

2

=(2x)

2

−2×2x×5y+(5y)

2

=4x

2

−20xy+25y

2

(iii)

(a+

5a

1

)

2

=a

2

+2×a×

2a

1

+(

2a

1

)

2

=a

2

+1+

4a

2

1

(iv)

(2a−1a)=(1a)

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Answer

8 0
2 years ago
Which of the following is equivalent to the expression below?
AfilCa [17]

Step-by-step explanation:

7x + 8 + 15 - 7x

Solving like terms

23

Option C is the correct answer

5 0
3 years ago
Read 2 more answers
Can anyone pls help me to solve question 2 f and g and pls provide me a explanation I’m with that questions for three days
zvonat [6]

Answer:

  f)  a[n] = -(-2)^n +2^n

  g)  a[n] = (1/2)((-2)^-n +2^-n)

Step-by-step explanation:

Both of these problems are solved in the same way. The characteristic equation comes from ...

  a[n] -k²·a[n-2] = 0

Using a[n] = r^n, we have ...

  r^n -k²r^(n-2) = 0

  r^(n-2)(r² -k²) = 0

  r² -k² = 0

  r = ±k

  a[n] = p·(-k)^n +q·k^n . . . . . . for some constants p and q

We find p and q from the initial conditions.

__

f) k² = 4, so k = 2.

  a[0] = 0 = p + q

  a[1] = 4 = -2p +2q

Dividing the second equation by 2 and adding the first, we have ...

  2 = 2q

  q = 1

  p = -1

The solution is a[n] = -(-2)^n +2^n.

__

g) k² = 1/4, so k = 1/2.

  a[0] = 1 = p + q

  a[1] = 0 = -p/2 +q/2

Multiplying the first equation by 1/2 and adding the second, we get ...

  1/2 = q

  p = 1 -q = 1/2

Using k = 2^-1, we can write the solution as follows.

The solution is a[n] = (1/2)((-2)^-n +2^-n).

 

5 0
2 years ago
What is the slope of the line that passes through the point of (5,6),(5,9)?In simplest form.
lilavasa [31]

Answer:3/0=undefined

Step-by-step explanation:(5/6) and (5,9)

Slope: 9-6 = 3

5-5 = 0

5 0
3 years ago
A company’s board of directors wants to form a committee of 3 of its members. There are 4 members to choose from. How many diffe
Ugo [173]

Answer:

4

Step-by-step explanation:

There are 4 board members and 3 committee members. You can solve this using combinations:

4C3 = 4!/(3!(4-3)!) = 4!/(3!1!) = 4

You can also solve this by recognizing that since there is one fewer committee spot than there are board members, there will be one possible committee excluding each of the 4 board members.

4 0
3 years ago
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