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k0ka [10]
3 years ago
12

Write as a product 27a^3−(a−b)^3

Mathematics
1 answer:
jarptica [38.1K]3 years ago
6 0

Answer:

  (2a +b)·(13a^2 -5ab +b^2)

Step-by-step explanation:

The factorization of the difference of cubes is a standard form:

  (p -q)^3 = (p -q)(p^2 +pq +q^2)

Here, you have ...

  • p = 3a
  • q = (a-b)

so the factorization is ...

  (3a -(a -b))·((3a)^2 +(3a)(a -b) +(a -b)^2) . . . . substitute for p and q

  = (2a +b)·(9a^2 +3a^2 -3ab +a^2 -2ab +b^2) . . . . simplify a bit

  = (2a +b)·(13a^2 -5ab +b^2) . . . . . . collect terms

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Steve went to the grocery store. The initial subtotal of his bill was $105.23. Steve then used 5
Mrac [35]

Answer:

105.23-101.48=3.75

3.75/5=0.75

Step-by-step explanation:

3 0
2 years ago
Select the correct answer.<br> A and АВ:<br><br> Which matrix is matrix B?
Kruka [31]

Answer:

Option B

Step-by-step explanation:

Looking at the options, option B is correct because when multiplying it by matrix A, it yields the matrix AB as follows;

First row of A multiplied by first column of matrix in option D;

(1 × -1) + (0 × 0) + (0 × 0) = -1 which corresponds to the first number on the first row of Matrix AB

Since majority of matrix AB are zero, I will just prove the ones that are not zero.

Thus;

Second row of matrix A is multiplied by second column of matrix in option D;

(0 × 0) + (-1 × -1) + (0 × 0) = 1 which is same as 2nd number on second row in matrix AB

Lastly, third row of matrix A is multiplied by third column of matrix in option D;

(0 × 0) + (0 × 0) + (1 × -1) = -1 which is same as third number in third row in matrix AB

5 0
2 years ago
What is the product? (2x-1)(x+4)
Semenov [28]
3x - 1 + 6x - 1 =
9x - 2
6 0
3 years ago
Evaluate the function f(x)=x^2+2x+3 at the given values of the independent variable and simplivy
tatyana61 [14]

Answer: i) f(-9)= 66

ii) f(x+1)=x^2+4x+6.

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

Step-by-step explanation:

The given function : f(x)=x^2+2x+3.

i) For f(-9) , the independent variable is x= -9.

Put x= -9 in given function , we get

f(-9)=(-9)^2+2(-9)+3

=81-18+3=66

Thus ,  f(-9)= 66

ii) For f(x+1) , the independent variable is x= x+1.

Replace x  by x+1 in given function , we get

f(x+1)=(x+1)^2+2(x+1)+3.

=(x^2+1+2x)+2x+2+3  [\because\ (a+b)^2=(a^2+b^2+2ab)]

=x^2+1+2x+2x+5

=x^2+4x+6

Thus ,  f(x+1)=x^2+4x+6.

iii)For f(-x) ,  the independent variable is x=-x.

Replace x  by -x in given function , we get

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

=x^2-2x+3  [∵ (+)(-)=(-)]

Thus , f(-x)=x^2-2x+3

8 0
3 years ago
Which number is closer to 10,000? 9,960 or 10,060?
german

Answer:

The correct answer is 9,960.

5 0
3 years ago
Read 2 more answers
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