Mister Exam
Other calculators
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How to use it?
- Factor polynomial:
- x^3-8
- x^8+1
- x^5/5+x^12/12
- x^2+x-4
- Least common denominator:
- (z*sqrt(z^2-a^2))/2-(a^2*log(2*sqrt(z^2-a^2)+2*z))/2
- ((z^2-z)/(z^2-9))^-1/(z^2-3*z)/(z-1)
- (z^2-4*z+16)/(16*z^2-1)*(4*z^2+z)/(z^3+64)-(z+4)/(4*z^2-z)
- sqrt(m)/(m-16)-sqrt(m)/((4-sqrt(m))^2)
- Factor squared:
- y^4+y^2+3
- y^4-y^2+12
- -y^4-y^2-11
- y^4+y^2+1
- How do you in partial fractions?:
- (z-2)/(6*z+(z-2)*(z-2))+(6/(z*z*z-8))
- 5*((x-4)/(x^2+4*x)-16/(16-x^2))/(1+4/x)
- (5x^2+9x-2)/(x^2-5x-14)
- (4*a^3)^2*(3*b^3)^4/(12*a^2*b^4)^3
- Derivative of:
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x^2+2*x-3
- Graphing y =:
- x^2+2*x-3
- Factor squared:
- x^2+2*x-3
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Identical expressions
- x^ two + two *x- three
- x squared plus 2 multiply by x minus 3
- x to the power of two plus two multiply by x minus three
- x2+2*x-3
- x²+2*x-3
- x to the power of 2+2*x-3
- x^2+2x-3
- x2+2x-3
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Similar expressions
- x^2+2*x+3
- x^2-2*x-3
Factor polynomial x^2+2*x-3
The solution
The perfect square
Let's highlight the perfect square of the square three-member
$$\left(x^{2} + 2 x\right) - 3$$
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
$$a = 1$$
$$b = 2$$
$$c = -3$$
Then
$$m = 1$$
$$n = -4$$
So,
$$\left(x + 1\right)^{2} - 4$$
$$\left(x^{2} + 2 x\right) - 3$$
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
$$a = 1$$
$$b = 2$$
$$c = -3$$
Then
$$m = 1$$
$$n = -4$$
So,
$$\left(x + 1\right)^{2} - 4$$