3 years ago

Factorise the following fully: 6a⁴b⁶-8a³b⁵+12a²b³

Mathematics

1 answer:

AlladinOne [14]3 years ago

5 0

Answer:

2a^2 b^3(3a^2 b^3 - 4ab^2 + 6)

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The general equation of the plane that contains the points (1, 0, 2), (−1, 1, −2), and the origin is of the form ax + by + cz =

ICE Princess25 [194]

Answer:

2x-z=0 is the equation of the plane.

Step-by-step explanation:

Given that the plane passes through the points (1,0,2) and (-1,1,-2)

and also origin.

Hence equation of the plane passing through three points we can use

Any plane passing through 3 given points is given as

$\left[\begin{array}{ccc}x-x_1&y-y_1&z-z_1\\x_2-x_1&y_2-y_1&z_2-z_1\\x_3-x_1&y_3-y_1&z_3-z_1\end{array}\right] =0$

Substitute the three points to get

$\left[\begin{array}{ccc}x-1&y&z-2\\-1-1&1&-2-2\\0-1&0&0-2\end{array}\right] \\=0\\(x-1)(-2) -y(4-4)+(z-2)(1) =0\\-2x+z=0\\2x-z-=0$

2x-z=0 is the equation of the plane.

4 0

4 years ago

Y = 5x – 6<br> Identify the y-intercept of the<br> following equation.

fenix001 [56]

Answer:-6

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Division was used in the first example.

VLD [36.1K]

Ok

Sulition because I said do

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3 years ago

What's is the magnitude of vector i+j+k

IrinaVladis [17]

The magnitude is what it equals

8 0

3 years ago

3/8=r+2/3 what is r=?

Tatiana [17]

Answer:

$\frac{-7}{24}$ =r

Step-by-step explanation:

3÷8=r+2÷3

$\frac{3}{8}$ =r+ $\frac{2}{3}$

$\frac{3}{8}$ - $\frac{2}{3}$ =r

(make the denominators same)(LCM of 8 and 3=24)

$\frac{3}{8}$ ( $\frac{3}{3}$ )+ $\frac{2}{3}$ ( $\frac{8}{8}$ )=r

$\frac{9}{24}$ - $\frac{16}{24}$ =r

$\frac{9-16}{24}$ =r

$\frac{-7}{24}$ =r

6 0

3 years ago

Factorise the following fully: 6a⁴b⁶-8a³b⁵+12a²b³​

Factorise the following fully: 6a⁴b⁶-8a³b⁵+12a²b³