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Evgesh-ka [11]
3 years ago
11

Use any method to multiply (3a + 2b – c)(a – b + 2c).

Mathematics
2 answers:
umka21 [38]3 years ago
4 0

Answer:

A)

3a2 – 2b2 – 2c2 – ab + 5ac + 5bc

(3a + 2b - c)(a - b + 2c) \\  = (3 {a}^{2}  - 3ab + 6ac + 2ab - 2 {b}^{2}  + 6bc - ac + bc - 2 {c}^{2} ) \\  = 3 {a}^{2}  - ab + 5ac - 2 {b}^{2}  + 5bc -  {2c}^{2}  \\  = 3 {a}^{2}  - 2 {b}^{2}  -  {2c}^{2}  - ab + 5ac + 5bc

guajiro [1.7K]3 years ago
3 0

Answer:

option a is correct

Step-by-step explanation:

(3a + 2b - c)(a - b + 2c)

3a(a- b + 2c) +2b(a - b + 2c) - c(a - b + 2c)

multiply the brackets

3a^2 - 3ab + 6ac + 2ab - 2b^2 + 4bc - ac + bc - 2c^2

combine like terms

3a^2 - ab + 5ac - 2b^2 + 5bc - 2c^2

3a^2 - 2b^2 - 2c^2 - ab + 5ac + 5bc

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natka813 [3]

The interpretation of the given question is as follows:

Use the given inverse to solve the system of equations

x- y - z = -6  \\ \\ 2y + z = -6 \\ \\  3x -8 y = - \dfrac{1}{2}

The inverse of  \left[\begin{array}{ccc}1&-1&1\\0&2&1\\3&-8&0\end{array}\right]   is \left[\begin{array}{ccc}-8&8&3\\-3&3&1\\6&-5&-2\end{array}\right]

x =

y =

z =

Answer:

x = - 1.5

y = - 0.5

z =  - 5

Step-by-step explanation:

Using the correlation  of inverse of matrix AX = B to solve the question above;

AX = B

⇒ A⁻¹(AX)  = A⁻¹ B

X =  A⁻¹ B

So ;

X         =        A⁻¹                             B

\left[\begin{array}{c}x\\y\\z\end{array}\right] =     \left[\begin{array}{ccc}-8&8&3\\-3&3&1\\6&-5&-2\end{array}\right] =   \left[\begin{array}{ccc}-6\\ -6\\- \dfrac{1}{2}\end{array}\right]

   

 \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}(-8*-6)+(8*-6)+(3*-\dfrac{1}{2})\\(-3*-6)+(3*-6)+(1*-\dfrac{1}{2})\\(6*-6)+(5*-6)+(-2* - \dfrac{1}{2})\end{array}\right]

\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}(48)+(-48)+(\dfrac{-3}{2})\\(18)+(-18)+(\dfrac{-1}{2})\\(-36)+(30)+(1)\end{array}\right]

\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}(\dfrac{-3}{2})\\(\dfrac{-1}{2})\\(-5)\end{array}\right]

\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}-1.5\\-0.5\\ -5\end{array}\right]

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valentinak56 [21]

Answer:

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Step-by-step explanation:

   

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What is the image of (-9,0) after a reflection over the line y=x
SpyIntel [72]

Answer:

(0,-9)

Step-by-step explanation:

The image of a point (x,y) over a line y=x is given by the co-ordinate rule:

(x,y) → (y,x)

So, when we reflect a point over the line y=x, the x co-ordinate and y co-ordinate change their places.

Here, (x,y) is (-9,0). So, from the above rule, after reflection over the line y=x, the image has the following co-ordinates:

(0,-9)

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