Given equation is

In general solution of

is

and

So the solution of given equation is

and

Now difference between them is 30.
So we can write




On squaring both side

Missing term = –2xy
Solution:
Let us first find the quotient of
.


Taking common term xy outside in the numerator.

Both xy in the numerator and denominator are cancelled.

Thus, the quotient of
is
.
Given the quotient of
is same as the product of 4xy and ____.
× missing term
Divide both sides by 4xy, we get
⇒ missing term = 
Cancel the common terms in both numerator and denominator.
⇒ missing term = –2xy
Hence the missing term of the product is –2xy.
Amount of grass in the backyard is 0.641 square yards
<h3>
What is a square?</h3>
Any 2-dimensional figure bounded by 4 sides whose all sides are equal and all the angles are 90° is called a square.
<h3>How to find the area of a square?</h3>
Area of a square can be found by squaring the length of one of its sides.
<h3>What is a rectangle?</h3>
Any 2-dimensional figure bounded by 4 sides whose opposites sides are equal and parallel and all the angles are 90° is called a rectangle.
<h3>How to find out area of a rectangle?</h3>
Area of a rectangle can be found by multiplying its length by its breadth.
<h3>How to calculate the area in the given problem?</h3>
The given figure is a combination of multiple figures.
- 1 square of length 3 cm on top
- 1 rectangle in the middle whose length is ( 2 + 3) cm = 5 cm, and breadth is 3 cm
- 1 larger rectangle at the bottom whose length is 10 cm and breadth is 3 cm.
- We will have to calculate these areas and sum up the areas to get the entire area.
- Area of the square at the top = ( 3 x 3) cm² = 9 cm²
- Area of the middle rectangle = ( 5 x 3) cm² = 15 cm²
- Area of the bottom rectangle = (10 x 3) cm² = 30 cm²
∴ Total area of the backyard = ( 9 + 15 + 30) cm² = 54 cm²
Amount of grass in the backyard = (54 x 0.109² ) square yards
= 0.641 square yards ( 1 cm = 0.109 yards)
Find out more information about area calculations here: brainly.com/question/1297098
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Answer:
10
Step-by-step explanation: