Mister Exam
Other calculators
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How to use it?
- Factor squared:
- x^2-x-2
- y^4+y^2+9
- -y^4-y^2+8
- x^2-x*a+4*a^2
- Factor polynomial:
- x^6*y^9-64*x^3
- 64*c^2*d^4-4*n^6
- 49-m^2
- x^7+x^5+1
- Least common denominator:
- factorial(x)*factorial(x)/factorial(x-2)/factorial(x-1)
- cos(a)/2*sin(2)-1-sin(a)/2*cos(2)-1
- (x*(x-1)^2)^(1/3)*((x-1)^2/3+x*(-2+2*x)/3)/(x*(x-1)^2)
- ((x^3+y^3)/(x+y))/(x^2-y^2)+(2*y)/(x+y)-(x*y)/(x^2-y^2)
- How do you in partial fractions?:
- ((y-9)/(y-8))*((y^2-64)/(y^2-16*y+64))
- (e^(3x)+1)/(e^x+1)
- a^3-a^2-a-2/(a^3+1)*a^3-2*a^2+2*a-1/(a^3+a^2+a)*a^2+a/(a^2-3*a+2)
- (u^2-4*u+16)/(16*u^2-1)*(4*u^2+u)/(u^3+64)
- Factor polynomial:
- x^2-x-2
- Integral of d{x}:
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x^2-x-2
- Graphing y =:
- x^2-x-2
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Identical expressions
- x^ two -x- two
- x squared minus x minus 2
- x to the power of two minus x minus two
- x2-x-2
- x²-x-2
- x to the power of 2-x-2
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Similar expressions
- x^2-x+2
- x^2+x-2
Factor x^2-x-2 squared
The solution
The perfect square
Let's highlight the perfect square of the square three-member
$$\left(x^{2} - x\right) - 2$$
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
$$a = 1$$
$$b = -1$$
$$c = -2$$
Then
$$m = - \frac{1}{2}$$
$$n = - \frac{9}{4}$$
So,
$$\left(x - \frac{1}{2}\right)^{2} - \frac{9}{4}$$
$$\left(x^{2} - x\right) - 2$$
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
$$a = 1$$
$$b = -1$$
$$c = -2$$
Then
$$m = - \frac{1}{2}$$
$$n = - \frac{9}{4}$$
So,
$$\left(x - \frac{1}{2}\right)^{2} - \frac{9}{4}$$