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Part (i)
<h3>Answer: x^2 + 5x + 6</h3>-----------------
Work Shown:
(x+3)(x+2)
y(x+2) ..... Let y = x+3
y*x + y*2 ... distribute
x(y) + 2(y)
x(x+3) + 2(x+3) .... plug in y = x+3
x*x + x*3 + 2*x + 2*3 ... distribute
x^2 + 3x + 2x + 6
x^2 + 5x + 6
=====================================================
Part (ii)
<h3>Answer: 4x^2 - 16x + 7</h3>-----------------
Work Shown:
We could follow the same set of steps as shown back in part (i), but I'll show a different approach. Feel free to use the method I used back in part (i) if the visual approach doesn't make sense.
The diagram below is a visual way to organize all the terms. Many textbooks refer to it as "the box method" which helps multiply out any two algebraic expressions.
Each inner cell is found by multiplying the corresponding outer terms. For instance, in the upper left corner we have 2x*2x = 4x^2. The other cells are filled out the same way.
The terms in those four inner cells (gray boxes) are:
- 4x^2
- -14x
- -2x
- 7
The like terms here are -14x and -2x which combine to -16x, since -14+(-2) = -16.
We end up with the answer 4x^2-16x+7
<span><u><em>Answer:</em></u>
It represent the tens of the number, therefore, it's unit value is 30
<u><em>Explanation:</em></u>
The place value chart is added in the attached image.
<u>Checking this chart, we would find that:</u>
first digit from the right is the units of the number
second digit from the right is the tens of the number
third digit from the right is the hundreds of the number
Comparing this with the nuber given, we would find that the 3 is in the tens position. Therefore, it unit value is 30.
<u>Another way to answer this is by breaking the number given as follows:</u>
432 = 400 + 30 + 2
We can note that the unit value of the 3 is 30
Hope this helps :)</span>
It represent the tens of the number, therefore, it's unit value is 30
<u><em>Explanation:</em></u>
The place value chart is added in the attached image.
<u>Checking this chart, we would find that:</u>
first digit from the right is the units of the number
second digit from the right is the tens of the number
third digit from the right is the hundreds of the number
Comparing this with the nuber given, we would find that the 3 is in the tens position. Therefore, it unit value is 30.
<u>Another way to answer this is by breaking the number given as follows:</u>
432 = 400 + 30 + 2
We can note that the unit value of the 3 is 30
Hope this helps :)</span>
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Answer:
x = 1
Step-by-step explanation:
<u><em>since the function ln is the inverse of the function exponential then :</em></u>
:)