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miskamm [114]
2 years ago
6

Expand and simplify A. (x – 2y)(y – 3x) B. (2p+3)(p^2-4p-7)

Mathematics
1 answer:
emmasim [6.3K]2 years ago
5 0

Answer:

A. (x−2y)(y−3x)

=(x+−2y)(y+−3x)

=(x)(y)+(x)(−3x)+(−2y)(y)+(−2y)(−3x)

=xy−3x2−2y2+6xy

=−3x2+7xy−2y2

B. (2p+3)(p2−4p−7)

=(2p+3)(p2+−4p+−7)

=(2p)(p2)+(2p)(−4p)+(2p)(−7)+(3)(p2)+(3)(−4p)+(3)(−7)

=2p3−8p2−14p+3p2−12p−21

=2p3−5p2−26p−21

Hope it helps

Please mark me as the brainliest

Thank you

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The difference of the square of a number and 40 is equal to 3 times that number. Find the positive solution.
Wewaii [24]

Answer: The answer is 8.

Step-by-step explanation: The first step is to convert the expression into figures. We shall call the unknown number Y. So if we are told “the square of a number,” that means Y squared, or better still, Y^2. Further we are told “the difference between the square of a number and 40” and that can be written as;

Y^2 - 40.

Next we are told that this expression is equal to 3 times that number (that is 3Y). That can now be written out as follows,

Y^2 - 40 = 3Y

If we move all expressions to one side of the equation, what we would have is,

Y^2 - 3Y -40 = 0

(Remember that when a positive value crosses to the other side of an equation it becomes negative and vice versa)

We now have a quadratic equation

Y^2 -3Y - 40 = 0

By factorizing we now have

(Y -8) (Y + 5) = 0

Therefore Y - 8 = 0 or

Y + 5 = 0

Hence, Y = 8 or Y = -5

Since we are asked to calculate the positive solution, Y = 8

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3 years ago
SOMEONE HELP ME FIND THE MISSING SIDE- (I think it’s 21)
Illusion [34]

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Step-by-step explanation:

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***I WILL GIVE BRAINIEST TO THE CORRECT ANSWER**
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Step-by-step explanation:

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Read 2 more answers
Full explanation Please<br> Will mark brainlist
Katyanochek1 [597]

The sum of 2 sides of a triangle needs to be greater than the length of the 3rd side.

14 + 29 = 43 (this is greater than 41)

14 + 41 = 55 (this is greater than 29)

29 + 41 = 70 (this is greater than 14)


(14, 29,41) can form a triangle.


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