Given the expression: 6x10 − 96x2
1 answer:
Step-by-step explanation:
Part A:
I'm going to assume you meant to write 6x^10 - 96x^2. Based off that assumption you can factor out 6 from both equations as well as x^2.
This is going to give you
. I
Part B:
if you look at the inside, both of the values are perfect squares (if the exponent is even, it's a perfect square). So the equation can further be rewritten using the difference of squares
If you look at the expression, you'll notice one of the equations can further be rewritten as the difference of squares (x^4 - 4).
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Answer:
Step-by-step explanation:
1) Distribute the exponent outside of the parentheses to the terms inside the parentheses. In this case, multiply the 3 outside the parentheses with the exponent of each of the terms inside:
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2) The variables are fine - you can't simplify them further. All you need to do now is multiply the out. Remember that it's kind of like asking, "what is 4 × 4 ×4?"
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Therefore, is the answer.
Option B: The area of the trapezoid is 157.5 m²
Explanation:
We need to determine the area of the trapezoid.
The area of the trapezoid can be determined by the formula,
where h is the height, a and b are the base of the trapezoid.
From the figure, it is obvious that ,
and
Substituting these values in the formula, we have,
Simplifying the terms, we have,
Multiplying the terms in the numerator, we have,
Dividing, we get,
Thus, the area of the trapezoid is 157.5 m²
Hence, Option B is the correct answer.