(x-1)(x+2)
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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.