Mister Exam
Other calculators
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How to use it?
- Factor squared:
- -y^4+8*y^2+9
- -y^4+8*y^2-4
- -y^4-y^2-2
- y^4+8*y^2-4
- Factor polynomial:
- e^x+5/x
- z^3+z-10
- z^3+i
- z^2-z+1
- Least common denominator:
- ((z^2+1)^2/(4*z^2))/(13+12*((z^2+1)/2*z*z))
- -z/1-z/2
- y/(y+3)+y/3+2/y
- y/(y-3)+3/(3-y)
- How do you in partial fractions?:
- (((y-y)/(3*y-3))+(1/(y-1)))/(y+1)/3
- (a^7*a)^2/(-a)^15
- -1+x/(x^2-2*x+2)+(x^2+3*x+2)/(x^2-x+2)
- 45*x*y^2/(75*y^2)
- Canonical form:
- x^2+2*x+2
- Integral of d{x}:
-
x^2+2*x+2
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Identical expressions
- x^ two + two *x+ two
- x squared plus 2 multiply by x plus 2
- x to the power of two plus two multiply by x plus two
- x2+2*x+2
- x²+2*x+2
- x to the power of 2+2*x+2
- x^2+2x+2
- x2+2x+2
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Similar expressions
- x^2-2*x+2
- x^2+2*x-2
Factor x^2+2*x+2 squared
The solution
The perfect square
Let's highlight the perfect square of the square three-member
$$\left(x^{2} + 2 x\right) + 2$$
To do this, let's use the formula
$$a x^{2} + b x + c = a \left(m + x\right)^{2} + n$$
where
$$m = \frac{b}{2 a}$$
$$n = \frac{4 a c - b^{2}}{4 a}$$
In this case
$$a = 1$$
$$b = 2$$
$$c = 2$$
Then
$$m = 1$$
$$n = 1$$
So,
$$\left(x + 1\right)^{2} + 1$$
$$\left(x^{2} + 2 x\right) + 2$$
To do this, let's use the formula
$$a x^{2} + b x + c = a \left(m + x\right)^{2} + n$$
where
$$m = \frac{b}{2 a}$$
$$n = \frac{4 a c - b^{2}}{4 a}$$
In this case
$$a = 1$$
$$b = 2$$
$$c = 2$$
Then
$$m = 1$$
$$n = 1$$
So,
$$\left(x + 1\right)^{2} + 1$$
Factorization
[src]
(x + 1 + I)*(x + 1 - I)
$$\left(x + \left(1 - i\right)\right) \left(x + \left(1 + i\right)\right)$$
(x + 1 + i)*(x + 1 - i)