Answer:
Step-by-step explanation:
Lets solve the expressions one by one
<u>1. 7-5</u>
we can see that it is simple subtraction. A smaller number is being subtracted from a large number.
So the answer is 2
<u>2. -7+5</u>
There are two numbers with different signs. When there is a number with plus and a number with minus both quantities are subtracted but the larger quantity determines the sign of the answer.
In this case, 7 is larger and has negative sign, the answer will be -2
<u>3. -7-5</u>
When there are two numbers with minus sign they are added but the answer has the minus sign with it.
So the answer will be: -12
<u>4. 7-(-5)</u>
When minus is multiplied with minus it converts to positive
So
Hence,
Answer:
Step-by-step explanation:
Use the Difference of Cubes [(a³ - b³)(a² + 2ab + b²)] to figure this out:
Then, since the divisor\factor is in the form of <em>x - c</em>, use what is called Synthetic Division. Remember, in this formula, −c gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:
−2| 1 0 0 8
↓ −2 4 −8
___________
1 −2 4 0 →
You start by placing the <em>c</em> in the top left corner, then list all the coefficients of your dividend [x³ + 8]. You bring down the original term closest to <em>c</em> then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an x², the −2x follows right behind it, then 4, giving you the other factor of , attaching this to the first two factors you started out your work on:
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