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Tpy6a [65]
3 years ago
12

Factorize 216x^3 + 64y^3

Mathematics
1 answer:
marin [14]3 years ago
5 0

Answer:

8( 3x+2y) ( 9x^2 -6xy +4y^2)

Step-by-step explanation:

216x^3 + 64y^3

Factor out the greatest common factor of 8

8( 27x^3 +8y^3)

Rewriting

8 ( (3x)^3 + (2y)^2))

Recognizing this as the difference of cubes)

a^3 + b^3 = (a+b) (a^2-ab+b^2)

8 ( (3x)^3 + (2y)^2)) = 8( 3x+2y) ( 9x^2 -(3x)(2y) +4y^2)

                                 =8( 3x+2y) ( 9x^2 -6xy +4y^2)

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Perpendicular to the line y=1/2x-8; passes through (7,-6). Write the slope-intercept form of the equation.
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<u>ANSWER: </u>

The slope intercept form of the required line is y = -2x + 20.

<u>SOLUTION: </u>

Given, line equation is $y=\frac{1}{2} x-8$

And, Perpendicular line to the given line  passes through (7,-6).  

We need to find the slope intercept form of perpendicular line of given line.  

We already have the point (7, -6) but we need to find the slope.

Now, we know that, product of slopes of two perpendicular lines equals to -1.

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Slope of perpendicular line = -2

Now, line equation of perpendicular line in point slope form is

$y-y_{1}=m\left(x-x_{1}\right)$

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hence, the slope intercept form of the required line is y = -2x + 20.

6 0
3 years ago
What is the extraneous solution?
8_murik_8 [283]
<h3>Answer:</h3>

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<h3>Step-by-step explanation:</h3>

<em>The only solution is an extraneous solution</em>, which is to say the equation has no solution.

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3 years ago
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Answer:

6

Step-by-step explanation:

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