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Agata [3.3K]
3 years ago
14

Simplify the given expression. –10xy(4xy3 – 7xy + 9y2)

Mathematics
1 answer:
Drupady [299]3 years ago
6 0

Answer:

\large\boxed{-40x^2y^4+70x^2y^2-90xy^3}

Step-by-step explanation:

Use the distributive property <em>a(b + c) = ab + ac</em>:

-10xy(4xy^3-7xy+9y^2)\\\\=(-10xy)(4xy^3)+(-10xy)(-7xy)+(-10xy)(9y^2)\\\\\text{use}\ a^na^m=a^{n+m}\\\\=-40x^{1+1}y^{1+3}+70x^{1+1}y^{1+1}-90xy^{1+2}\\\\=-40x^2y^4+70x^2y^2-90xy^3

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How many times bigger is 5 with an exponent of 26 compared to 5 with an exponent of 22?
Gekata [30.6K]

Answer:

Step-by-step explanation:

if we have 5^22 and 5^26

5^26= 5^22 x5^4

5^26 is bigger by the number 5^4

5 0
3 years ago
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Find the value of the variable y, where the sum of the fractions 6/(y+1) and y/(y-2) is equal to their product.
Blizzard [7]

Answer:

The answer is

y = 3

y =  - 4

Step-by-step explanation:

We must find a solution where

\frac{6}{y + 1}  +  \frac{y}{y - 2}  =  \frac{6}{y + 1}  \times  \frac{y}{y - 2}

Consider the Left Side:

First, to add fraction multiply each fraction on the left by it corresponding denomiator and we should get

\frac{6}{y + 1}  \times  \frac{y - 2}{y - 2}  +  \frac{y}{y - 2}  \times  \frac{y + 1}{y + 1}

Which equals

\frac{6y - 12}{(y -2) (y + 1)}  +  \frac{ {y}^{2} + y }{(y - 2)(y + 1)}

Add the fractions

\frac{y {}^{2} + 7y - 12 }{(y - 2)(y + 1)}  =  \frac{6}{y + 1}  \times  \frac{y}{y - 2}

Simplify the right side by multiplying the fraction

\frac{6y}{(y  + 1)(y + 2)}

Set both fractions equal to each other

\frac{6y}{(y + 1)(y - 2)}  =  \frac{ {y}^{2} + 7y - 12}{(y + 1)(y - 2)}

Since the denomiator are equal, we must set the numerator equal to each other

6y =  {y}^{2}  + 7y - 12

=  {y}^{2}  + y - 12

(y  + 4)(y - 3)

y =  - 4

y = 3

6 0
3 years ago
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Steve had 48 chocolates but decided to give 8 chocolates to each of his coworkers,
Lunna [17]

Answer:

48 - 8c

Step-by-step explanation:

let c be the number of coworkers

48 - 8c would be the expression because it starts with 48 and for every coworker 8 is subtracted.

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3 years ago
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What two numbers multiply to -32 and add to 4
svetlana [45]

Answer:

9 and also -4

Step-by-step explanation:

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3 years ago
Algebra 2 questions
Juliette [100K]

Answer:

x = 3

Step-by-step explanation:

The fractions need to have common denominators. So, we would make the common denominator (x + 3)(x - 3), or, x^2 - 9

Multiply the numerator by the same number or variable as the denominator and then combine.

Once their is x and a number left you would solve for x.

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3 years ago
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