Answer:
9p⁸ + 12p⁴q⁴ + 4q⁸
Step-by-step explanation:
(3p⁴ + 2q⁴)² ⇒ The square of (3p⁴ + 2q⁴)
Squares are such bases that multiply itself two times.
⇒ (3p⁴ + 2q⁴)(3p⁴ + 2q⁴)
<u>Simplifying the expression using (a + b)(a + b) = (a x a) + (ab) + (ab) + (b²)</u>
⇒ (9p⁸ + 6p⁴q⁴ + 6p⁴q⁴ + 4q⁸)
⇒ (9p⁸ + 12p⁴q⁴ + 4q⁸) = 9p⁸ + 12p⁴q⁴ + 4q⁸
Let's call the digits of the number ab a and b. Then the information in the question can be expressed as
a+b=12 => b=12-a
a*10+b + 54 = b*10+a => 9a + 54 = 9b
9a + 54 = 9(12-a) => 18a = 54 => a=3
b=12-a; b=9
39 swapped gives 93, 39+54=93
Answer:
(x+1)² + (y-4)² = 10
Step-by-step explanation:
The diameter of a circle has the endpoints at (2,3) and (-4,5).
Therefore, the length of the diameter is given by
= 2
Hence, the radius of the circle is √10.
Now the midpoint of the line joining (2,3) and (-4,5) will be the center of the straight line.
Hence, the center will be at (
Therefore the equation of the circle is
(x+1)² + (y-4)² = (√10)²
⇒ (x+1)² + (y-4)² = 10 (Answer)
The minute hand had turned to 90 degrees.