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lozanna [386]
3 years ago
9

Factorise: 4x squared - 9y squared

Mathematics
1 answer:
kicyunya [14]3 years ago
4 0
Here is your great answer Simplifying
4x2y + 12xy2 + 9y3

Reorder the terms:
12xy2 + 4x2y + 9y3

Factor out the Greatest Common Factor (GCF), 'y'.
y(12xy + 4x2 + 9y2)

Factor a trinomial.
y((2x + 3y)(2x + 3y))

Final result:
y(2x + 3y)(2x + 3y)
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The sketch below represents the bounded area of the curve of the function defined by f(x)=x² + 3 V Determine the shaded area bou
valentina_108 [34]

Based on the function for the bounded area of the curve, the shaded area bounded by the curve and the x-axis between the points where x = -2 and x = 1​ is 12 units².

<h3>What is the area of the shaded area?</h3>

To find the shaded area, you need to integrate the function of the bounded area as shown below:

= ∫(x² + 3) dx

This gives:

= (x³/3 + 3)

= (1 / 3 + 3) - (8 /3  - 6)

= 1/3 + 3 + 8/3 + 6

= 9/3 + 9

= 12 units²

In conclusion, shaded area bounded by the curve and the x-axis between the points where x = -2 and x = 1​ is 12 units².

Find out more on the area of a shaded region at brainly.com/question/1297097.

#SPJ1

8 0
1 year ago
Find the values of p and q such that<br> 2x² - 4x + 3 = 2(x- p) +9
kari74 [83]

Answer:

P = 3x + 3 - x²

Step-by-step explanation:

4 0
3 years ago
Find the area of the polygon shown. Enter the number into the box.<br> ft? 1 ft 4 ft 4 ft
SpyIntel [72]

Answer:

The area of the trapezium is 18 ft²

Step-by-step explanation:

Given;

Two parallel sides of the polygon as  follows;

The first parallel side = 1 ft + 4 ft = 5 ft

The second parallel side = 4 ft

If this polygon is rotated 90 degrees, it forms a trapezium with a height of 4 ft.

The area of a trapezium is calculated as;

A rea= \frac{1}{2} (sum \ of \ parallel \ sides) \times height\\\\Area = \frac{1}{2} (5 \ + \ 4) \times 4\\\\Area = 18 \ ft^2

Therefore, the area of the trapezium is 18 ft²

5 0
3 years ago
Solve the system of equations and choose the correct ordered pair.
Ilia_Sergeevich [38]

The answer is C. Would you like me to explain how I got that?


3 0
3 years ago
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How wide is a rectangular garden with a length of 8 feet And an Area of 40 square feet
Lemur [1.5K]
5 feet wide
bc 5•8=40
6 0
3 years ago
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