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Anastaziya [24]
3 years ago
15

Combine the like terms to create am equivalent expression y-(-3y)

Mathematics
2 answers:
Anna35 [415]3 years ago
4 0

Answer:

= 4y

Step-by-step explanation:

y - ( - 3y)

we know that,

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

so,

y - ( - 3y) \\ y + 3y \\  = 4y

hope this helps

brainliest appreciated

good luck! have a nice day!

Mariulka [41]3 years ago
3 0

Answer:

=4y

Step-by-step explanation:

y-\left(-3y\right)\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\=y+3y\\\mathrm{Add\:similar\:elements:}\:y+3y=4y\\=4y

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Factor completely x^8- 16.
Nataly_w [17]

Answer:

Step-by-step explanation:


So in this example we'll be using the difference of squares which essentially states that: (a-b)(a+b)=a^2-b^2 or another way to think of it would be: a-b=(\sqrt{a}-\sqrt{b})(\sqrt{a}+\sqrt{b}). So in this example you'll notice both terms are perfect squares. in fact x^n is a perfect square as long as n is even. This is because if it's even it can be split into two groups evenly for example, in this case we have x^8. so the square root is x^4 because you can split this up into (x * x * x * x) * (x * x * x * x) = x^8. Two groups with equal value multiplying to get x^8, that's what the square root is. So using these we can rewrite the equation as:

x^8-16 = (x^4-4)(x^4+4)

Now in this case you'll notice the degree is still even (it's 4) and the 4 is also a perfect square, and it's a difference of squares in one of the factors, so it can further be rewritten:

x^4-4 = (x^2-2)(x^2+2)

So completely factored form is: (x^2-2)(x^2+4)(x^4+4)

I'm assuming that's considered completely factored but you can technically factor it further. While the identity difference of squares technically only applies to difference of squares, it can also be used on the sum of squares, but you need to use imaginary numbers. Because x^2+4 = x^2-(-4). and in this case a=x^2 and b=-4. So rewriting it as the difference of squares becomes: x^4+4 = x^4 - (-4) = (x^2-\sqrt{-4})(x^2+\sqrt{-4}) = (x^2-2i)(x^2+2i) just something that might be useful in some cases.

7 0
2 years ago
Read 2 more answers
What is the answer 51% of 128
Jobisdone [24]
Multiply 51% times 128 and u get 128
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3 years ago
Clare has $54 in her bank account. A store credits her account with a $10 refund. How much dose she have now in the bank
pickupchik [31]

Answer: She now has $64 in the bank.

Step-by-step explanation:

Amount of money in bank account = $54

amount refunded by a store = $10

Total amount of money in bank =Amount of money in bank account + amount refunded by a store= $54+ $10 =$64

4 0
3 years ago
Write an expression in simplest form 5y-8x-2y+x+x+6
FrozenT [24]
To solve the following problem simply collect like terms by adding and or subtracting them.

The final expression would contain only 3 terms.
8 0
3 years ago
A candy store called "Sugar" built a giant sugar cube out of wood to hang above the entrance to their store. It took 54 feet^2.
saul85 [17]
Each side area = 54/6 sides = 9 
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7 0
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