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lesya [120]
3 years ago
14

Factorize (x-3y)^3+27y^3 With explanation Will mark Brainliest for the best one...

Mathematics
1 answer:
drek231 [11]3 years ago
7 0
Use the identity: a^3 + b^3 = (a + b)(a^2 - ab + b^2)
Replace b^3 by 27y^3
x^3 + 27b^3 = (x + 3y)(x^2 - 3xy + 9y^2)
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When x-y=3 work out the value of y-x
GalinKa [24]

The value of y-x is (-3)

<u>Solution:</u>

Given: The value of x-y=3

To find: The value of y-x

\bold{x-y=3\rightarrow (1)}

Let's multiply the equation (1) by (- 1) on both sides,

\Rightarrow\bold{(x - y)\times(- 1) = 3\times(- 1)}

\Rightarrow\bold{-(x-y)=-3}

On multiplying the sign,

\Rightarrow\bold{(-x+y)=-3}

The above equation can also be written as,

\Rightarrow\bold{y-x=-3\rightarrow \text{(The required equation)}}

<u>Multiplication of signs:</u>

\Rightarrow( + )\times( + ) = ( + )

\Rightarrow( + )\times( - ) = ( - )

\Rightarrow( - )\times( + ) = ( - )

\Rightarrow( - )\times( - ) = ( + )

In simpler terms, when we multiply two integers with the same signs, the result is always positive and when we multiply two integers with different signs, the result is always negative.

5 0
3 years ago
5/10 plus 2/9 simplified
Genrish500 [490]

5/10+2/9=13/18

=1/2+2/9

=9/18+4/18

=9+4/18

answer: 13/18

7 0
3 years ago
Read 2 more answers
Anyone know the answer to this?
kiruha [24]

Answer:

42

Step-by-step explanation:

Angle ABD = Angle CBD + Angle ABC

You know ABD is 70, CBD and ABC are in terms of x

70 = 5x + 13 + 3x + 33

70 - 13 - 33 = 8x

24 = 8x

3 = x

Replacing x in Angle ABC:

3 * 3 + 33 = 42

6 0
3 years ago
What is larger 8/10 or 63/100
amid [387]

Answer:

8/10

Step-by-step explanation:

8/10 = 80/100 > 63/100

6 0
3 years ago
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15 points please help :")
Liono4ka [1.6K]

Answer:

15*C

Step-by-step explanation:

The temperature rises by 2.4 every 3 cycles per second. So you would have to keep the pattern going.

6 cycles p/second = 19.8*C

3 cycles p/second = 17.4*C

0 cycles p/second = 15.0*C

So, because 0 cycles means the engine is resting, 15*C would be the answer.

4 0
3 years ago
Read 2 more answers
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