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(x - 4i)(x + 4i) where i is the square root of -1
- - x + 3 = x + 3
Without further information, it is not possible to evaluate or simplify the expression.
3x+3-2x=3 x+3=3 x-0
simplify means to get an expression to its simplest form (a.k.a. combine like terms, add together constants) i.e. x + x + 5 + 3 simplified is 2x + 8
(3-4i)(1-i) = (3x1) + (3 x -i) + (-4i x 1) + ( -4i x -i) = 3 - 3i -4i -4 = -1 - 7i
The value of the expression x2 + 9 will depend on what value you plug in for x. If you are looking to factor that expression, it can only be done using complex numbers:x2 + 9 = (x + 3i)(x - 3i)
(x - 4i)(x + 4i) where i is the square root of -1
- - x + 3 = x + 3
x^2 + 3 = x^2 - (-3) = x^2 - 3i^2 = (x - i√3)(x + i√3)
x2 + 9 has no real factors. Its complex factors are (x + 3i) and (x - 3i) where i is the imaginary square root of -1.
3x2 + 51 = 6x Rewrite the equation so that it equates to zero 3x2 - 6x + 51 = 0 Simplify by dividing by 3 x2 - 2x + 17 = 0 Then use the quadratic formula x = {2 ± √[(-2)2 -(4x1x17)]} ÷ 2 = { 2 ± √-64} ÷ 2 = 1 ± 4i Then x = 1 + 4i and x = 1- 4i
3x2 = -9 (divide both sides by 3) x2 = -3 (x would have to be the square root of -3) x = ±√-3 x = ±√3i Since you want to solve by factoring: x2 = -3 add 3 to both sides x2 + 3 = 0 x2 - 3i2 = 0 x2 - (√3i)2 = 0 Factor: (x - √3i)(x + √3i) = 0 x - √3i = 0 or x + √3i = 0 x = √3i or x = -√3i
x-(x+4)
To simplify an absolute value expression, you need to determine the value of the expression inside the absolute value bars and consider whether it is positive or negative. If the expression is non-negative, the absolute value is simply the expression itself. If it is negative, the absolute value is the expression multiplied by -1. For example, |x| can be simplified to x if x ≥ 0, and to -x if x < 0.
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To simplify the expression (4x + 6x), you combine like terms by adding the coefficients of (x). This gives you (4 + 6 = 10), so the simplified expression is (10x).