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NemiM [27]
3 years ago
10

Factorise 45p² -125q²​

Mathematics
2 answers:
SashulF [63]3 years ago
8 0

Answer:

5(3p + 5q)(3p - 5q)

Step-by-step explanation:

45 {p}^{2}  - 125 {q}^{2}  \\  \\  = 5(9 {p}^{2}  - 25 {q}^{2} ) \\  \\  = 5 \{ {(3p)}^{2}  -  {(5q)}^{2}  \} \\  \\  = 5(3p + 5q)(3p - 5q)

BigorU [14]3 years ago
3 0

Answer:

yea i think you got it

Step-by-step explanation:

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cluponka [151]
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8 0
4 years ago
I need to find the surface area of this
solmaris [256]
We need to find surface area, so we can imagine breaking it up into face net.

There will be 18 × 18 square base, four 18 × 40 rectangles, and four triangles with base 18 and height 13. 

So the surface area would be sum of these areas.

That would be 18×18 + 4( 18 × 40 ) + 4( (1/2) 18×13 ) = <span>3672

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Hope this helps.
5 0
3 years ago
Read 2 more answers
Expand ( x - 1/x^2)^4
emmainna [20.7K]

Answer:

We want to expand the expression:

(x - \frac{1}{x^2} )^4

We can just do it by brute force, this is:

First, rewrite our expression as the product of two square factors:

(x - \frac{1}{x^2} )^4 = (x - \frac{1}{x^2} )^2*(x - \frac{1}{x^2} )^2

Now we can expand each one these two factors:

(x - \frac{1}{x^2} )^2 = (x - \frac{1}{x^2} )*(x - \frac{1}{x^2} ) = x^2 + \frac{1}{x^4} -2*x*\frac{1}{x^2}

That can be simplified to

x^2 - \frac{2}{x} + \frac{1}{x^4}

Now we can replace that in our original expression to get:

(x^2 - \frac{2}{x} + \frac{1}{x^4})*(x^2 - \frac{2}{x} + \frac{1}{x^4})

Now we can expand that last product, to get:

(x^2)^2 + 2*(x^2)*(-\frac{2}{x} ) + 2*(x^2)*(\frac{1}{x^4}) + 2*(\frac{-2}{x})*(\frac{1}{x^4}) + (\frac{-2}{x}  )^2 + (\frac{1}{x^4})^2

We can simplify that to:

x^4 - 4x + 2x^2 - \frac{4}{x^5}  + \frac{4}{x^2} + \frac{1}{x^8}

That is the expanded expression.

6 0
3 years ago
Choose the true statement. <br> A) -2/3 &lt; -3/4<br> B) -2/3 &gt; -3/4<br> C) -2/3 = -3/4
Elenna [48]
The answer is B because -2/3 is closer to 0, making it greater
4 0
3 years ago
Read 2 more answers
B) <br> 5/8 + 7/8 <br><br> C) <br> 2/3 - 1/2
Zanzabum

Answer:

5/8+7/8=12/8      reduces to 1 1/2

2/3-1/2=1/6

Step-by-step explanation:

8 0
3 years ago
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