The denominator of the first term is a difference of squares, such that
4<em>a</em> ² - <em>b</em> ² = (2<em>a</em>)² - <em>b</em> ² = (2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>)
So you can write the fractions as
(4<em>a</em> ² + <em>b</em> ²)/((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>)) - (2<em>a</em> - <em>b</em>)/(2<em>a</em> + <em>b</em>)
Multiply through the second fraction by 2<em>a</em> - <em>b</em> to get a common denominator:
(4<em>a</em> ² + <em>b</em> ²)/((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>)) - (2<em>a</em> - <em>b</em>)²/((2<em>a</em> + <em>b</em>) (2<em>a</em> - <em>b</em>))
((4<em>a</em> ² + <em>b</em> ²) - (2<em>a</em> - <em>b</em>)²) / ((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>))
Expand the numerator:
(4<em>a</em> ² + <em>b</em> ²) - (2<em>a</em> - <em>b</em>)²
(4<em>a</em> ² + <em>b</em> ²) - (4<em>a</em> ² - 4<em>ab</em> + <em>b</em> ²)
4<em>ab</em>
<em />
So the original expression reduces to
4<em>ab</em> / ((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>))
or
4<em>ab</em> / (4<em>a</em> ² - <em>b</em> ²)
upon condensing the denominator again.
Answer:
The answer would be x=4.
Step-by-step explanation: Step 1: Simplify both sides of the equation.
2x+3(5x−7)=47
2x+(3)(5x)+(3)(−7)=47(Distribute)
2x+15x+−21=47
(2x+15x)+(−21)=47(Combine Like Terms)
17x+−21=47
17x−21=47
Step 2: Add 21 to both sides.
17x−21+21=47+21
17x=68
Step 3: Divide both sides by 17.
17x/17=68
17x=68
x=4
5 object which are longer than your hand- span in my surrounding is Note book, Laptop, Window, Curtain, Table.
Hand span is a measure of distance from the tip of the thumb to the tip of the little finger with the hand fully extended.
Hand span is a measure that has been used for many years. By placing the hand on the edge of a piece of paper and marking the tips of the thumb and little finger, the student can measure a straight line. This is a better method than placing the hand directly on the ruler.
Hand span and cubit are not used as standard units of length because their sizes vary from person to person. So, two different persons may give different measurements for the same length, which is not desirable for a standard unit.
Measure using yours hands and write as per your hand-span measurement.
Therefore,
5 object which are longer than your hand- span in my surrounding is Note book, Laptop, Window, Curtain, Table.
Find out more information about hand span here
brainly.com/question/993795
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