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What does p2 plus 2pq plus q2 equals 1 represent?
p2+2pq+q2=1
Are all perfect square number are even numbers?
No, all perfect square numbers are not even numbers. Eg. the square of 3 is 9. (32=9) To generalize the proof: If p is odd then p=2n+1 and p2=(2n+1)2=4n2+4n+1=2(2n2+2n)+1 So odd numbers have odd square
Who created p2 plus 2pq plus q2 equals 1?
rutherford
What does p squared represent in p2 plus 2pq plus q2 equals 1?
If restricted to integers, then p is -1, 0 or 1. If restricted to real numbers, then any number in the interval [-1,1]. If not so restricted then any number you like.
What does q2 represent in the equation p2 plus 2pq plus q2 plus 1?
It is not an equation, but q2 meaning q^2 represents q being multiplied by itself.
How do you Factorise p2 plus 10d plus 7?
p2+10d+7
What does p2 plus 2pq plus q2 equals 1 represent?
p2+2pq+q2=1
Are all perfect square number are even numbers?
No, all perfect square numbers are not even numbers. Eg. the square of 3 is 9. (32=9) To generalize the proof: If p is odd then p=2n+1 and p2=(2n+1)2=4n2+4n+1=2(2n2+2n)+1 So odd numbers have odd square
What is another way to write P2 plus L 2 plus W?
P2 + l 2 + w
What is the answer when you factorise p2 plus 3p?
p2 + 3p = p (p + 3)
Can a multiple of a prime number be prime?
No. Let p1 be a prime number. Let p2 be a multiple of p1 such that p2 = p1 * k. Then the factors of p2 are: 1, p1, k and p2. ==> p2 is not a prime number. Hence, a multiple of a prime number cannot be a prime number.
What is q in this equation p2 plus 2pq plus q2 equals 1?
p2 + 2pq + q2 = 1q2 + 2pq + (p2 - 1) = 0q = 1/2 [ -2p plus or minus sqrt( 4p2 - 4p2 + 4 ) ]q = -1 - pq = 1 - p
Who created p2 plus 2pq plus q2 equals 1?
rutherford
Root of 2 is rational or irrational?
Let's try a proof by contradiction (because it isn't rational). Try and follow along the best you can.√2 = p/q2 = p2/q22q2 = p2This means that 2q2 (an even number) is equal to another number squared. But this means that p is even, because p2 is even, and only an even number sqaured is an even number. Lets replace p with 2b (because its twice a number because it's even).IMMA DO THE THINGS THAT I WANNA DO, I AIN'T GOTTA THING TO PROVE TO YOU. I EAT MY CANDY WITH THE PORK AND BEANS!TO BE CONTINUED
What is p squared plus p squared plus p cubed?
p2 + p2 + p3 = 2p2 + p3 because you can add the two variables that match, while you leave the different variable alone.
What are the factors of p2-2p plus 2?
p2 - 2p + 2 can be factored as (p - 1)(p - 1)which can be written as ( p - 1)2.
What does p squared represent in p2 plus 2pq plus q2 equals 1?
If restricted to integers, then p is -1, 0 or 1. If restricted to real numbers, then any number in the interval [-1,1]. If not so restricted then any number you like.
