This is a difference of two sqaures. 49y2 - z2 = (7y - z)(7y + z)
x2 - 3 doesn't factor neatly. Applying the quadratic formula, we find two real solutions: Zero plus or minus the square root of three.x = 1.7320508075688772x = -1.7320508075688772
This is a difference of two squares, which factorises to: (3x - 4y)(3x + 4y)
This doesn't factor neatly. Applying the quadratic equation, we find two imaginary solutions: (-17 plus or minus the square root of -671) divided by 12x = -1.4166 + 2.158638974498103ix = -1.4166 - 2.158638974498103iwhere i is the square root of negative one.
The sum of two squares cannot be factored. It can be represented thus: X2 + y2 = (x + yi)(x - yi) In this expression, the i is the symbol for the imaginary number the square root of -1.
(a - 2)(a^2 + 6)
Factor out -2: -2(x squared +11x-20). This is fully factored.
That doesn't factor neatly. Applying the quadratic formula, we find two imaginary solutions: 1 plus or minus i where i is the square root of negative one.
x2-9x+8=0 has two solutions:x = 8x = 1
That doesn't factor neatly. Applying the quadratic equation, we find two real solutions: (-2 plus or minus the square root of 5) divided by 3x = 0.07868932583326327x = -1.4120226591665965
By factoring I get x-3 divided by x+3
That doesn't factor neatly. Applying the quadratic formula, we find two real solutions: -8 plus or minus 4 times the square root of 30. x = 13.908902300206645 x = -29.908902300206645
b2 + ab - 2 - 2b2 + 2ab = -b2 + ab - 2 which cannot be simplified further.
Two is a prime factor of that equation.
2m^2 - 8 -First you should factor out a two. --> 2(m^2-4) -You now have something squared minus something else squared; You have m squared minus 2 squared. Whenever you have something squared minus something squared as you do in this case, there is a simple rule to remember: You can reduce that expression into the quantity of the square root of the first number or variable plus the square root of the second number or variable Times the quantity of the square root of the first number or variable minus the second number or variable squared. --> In the case of your expression: ----> 2(m+2)(m-2)<-----
X= plus or minus 1
If that were + 35, it would factor to (x + 5)(x + 7) As it is, it doesn't factor neatly. Applying the quadratic formula, we find two real solutions: -6 plus or minus the square root of 71 x = 2.426149773176359 x = -14.426149773176359