Mister Exam
Other calculators
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How to use it?
- Factor polynomial:
- m^3+n^3
- x+x^2
- x^2+y^2
- x^5+x+1
- Least common denominator:
- z/t-t/z
- ((z+p)/(2*(z-p)))-((z-p)/(2*(z+p)))-((p)/(z-p))
- (z/b+b/z)/z2+b2/6*z10*b
- (z-a)/(5*z-2*a)-(z-4*a)/(z)
- Factor squared:
- -y^4+y^2+11
- y^4+9*y^2+8
- -y^4-9*y^2+7
- y^4+9*y^2-6
- How do you in partial fractions?:
- (x^2+3*x-4)/(x+4)
- (x^2-6*x-9)/(x-3)
- 5*((x-4)/(x^2+4*x)-16/(16-x^2))/(1+4/x)
- (x^2-8*x+16)/(x-4)
- Derivative of:
-
x^2-4*x-5
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Identical expressions
- x^ two - four *x- five
- x squared minus 4 multiply by x minus 5
- x to the power of two minus four multiply by x minus five
- x2-4*x-5
- x²-4*x-5
- x to the power of 2-4*x-5
- x^2-4x-5
- x2-4x-5
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Similar expressions
- x^2-4*x+5
- x^2+4*x-5
Factor polynomial x^2-4*x-5
The solution
The perfect square
Let's highlight the perfect square of the square three-member
$$\left(x^{2} - 4 x\right) - 5$$
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
$$a = 1$$
$$b = -4$$
$$c = -5$$
Then
$$m = -2$$
$$n = -9$$
So,
$$\left(x - 2\right)^{2} - 9$$
$$\left(x^{2} - 4 x\right) - 5$$
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
$$a = 1$$
$$b = -4$$
$$c = -5$$
Then
$$m = -2$$
$$n = -9$$
So,
$$\left(x - 2\right)^{2} - 9$$