Question

Three – fifths of the sum of x and y multiplied by their difference.
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Answer 1

Step-by-step explanation:

The sum of x and y is (x + y).

Now

$\frac{3}{5} (x + y)$

Their difference (x - y)

Thus

$\frac{3}{5} (x + y) \times (x - y)$

or,

$\frac{3}{5} ( {x}^{2} - {y}^{2} )$

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Answer 2

Answer:

The answer is $=\frac{3}{5} (x^{2} -y^{2} )$

Step-by-step explanation:

As per the data given in the question,

We have,

sum of $x\:and\:y$ = $x+y$

Now, Three – fifths of the sum of $x\:and\:y$ = $\frac{3}{5} (x+y)$..............(i)

Now,  difference of  $x\:and\:y$ = $x-y$.................(ii)

So, Multiplying (i) and (ii),

$=\frac{3}{5}(x+y)(x-y)\\=\frac{3}{5} (x^{2} -y^{2} )$

Hence, the answer is $=\frac{3}{5} (x^{2} -y^{2} )$

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