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How do you simplify x squared plus x-6?
x2+x-6=x2+3x-2x-6x2+x-6=x(x+3)-2(x-3)x2+x-6=(x+3)(x-2)
What is 2x2 times x2?
To solve the expression 2x2 times x2, we first simplify the multiplication of the coefficients: 2 x 2 = 4. Next, we multiply the variables with the same base (x) by adding their exponents: x2 x x2 = x(2+2) = x4. Therefore, the final answer is 4x4.
What is the solution of x2 plus x plus 1 equals 0?
x2 + x + 1 = 0 ∴ x2 + x + 1/4 = -3/4 ∴ (x + 1/2)2 = -3/4 ∴ x + 1/2 = ± √(-3/4) ∴ x = - 1/2 ± (i√3) / 2 ∴ x = (-1 ± i√3) / 2
X squared -x--6 divided by x squared-4?
-2
What are the roots of x2 plus 6x plus 12 equals 0?
x2 + 6x + 12 = 0 x2 + 6x + 9 = -3 (x + 3)2 = -3 x + 3 = ± √-3 x = -3 ± i√3
How do you simplify x squared plus x-6?
x2+x-6=x2+3x-2x-6x2+x-6=x(x+3)-2(x-3)x2+x-6=(x+3)(x-2)
How do you Simplify x to the power of negative 2 and y to the power of 3?
It is y^3/x^2
Simplify x2 plus 2x?
x(x + 2)
How to simplify x cube - 3x plus 2?
Assuming simplify = factor...x3 - 3x + 2 = (x-1)(x2+x-2)
What is the anti-derivative of sqrtx2-x?
f'(x) = (x2 - x)1/21. Add one to the exponent2. Divide step 1 by the exponent plus one= (x2 - x)1/2+1____________1/2 + 1= (x2 - x)3/2_________ 3/2= (2/3) (x2 - x)3/2 + CIt may also be written:[2(x2 - x)3/2 / 3] + CCheck:f(x) = (2/3) (x2 - x)3/2Using the chain rule:f'(x) = (2/3) (3/2) (x2 - x)3/2-1= (x2 - x)1/2
How do you simplify x2 -x-20 over x2 plus 8x plus 16?
(x2 - x - 20) / (x2 + 8x + 16) = [(x - 5)(x + 4)] / (x + 4)2 = (x - 5) / (x + 4)
How do you factor x to the fourth power minus x to the second power minus 12?
x4 - x2 - 12 = (x2 + 3) (x2 - 4)And (x2 - 4) = (x + 2) (x - 2)So the original expression = (x2+ 3) (x + 2) (x - 2)
Answer to -x2 equals x-6?
-x2 = x - 6 x2 + x - 6 = 0 (x - 2)(x + 3) = 0 x ∈ {-3, 2}
How to simplify X squared - x - 12 divided by x squared - 9 over x squared - 3x?
To simplify the equation:(x2 - x - 12) / [(x2 - 9) / (x2 - 3x)]first, factor the numerator:= (x + 3)(x - 4) / [(x2 - 9) / (x2 - 3x)]Now bring the bottom term, (x2 - 3x), up to the top (remember, a/(b/c) = ac/b):= (x + 3)(x - 4)(x2 - 3x) / (x2 - 9)then factor the extra "x" out of the term (x2 - 3x):= (x + 3)(x + 4)(x - 3)x / (x2 - 9)now note that the bottom term is a difference of squares, and factor that out:= (x + 3)(x + 4)(x - 3)x / (x + 3)(x - 3)now you can see that the two terms on the bottom can be factored out of the top term, giving you:x(x + 4)which equals:x2 + 4x
What is 3x-3 multiplied by x over 6 multiplied by x2-x?
(3x - 3)(x/6)(x2 - x)= (3)(x - 1)(x/6)(x)(x - 1) = (1/2)(x2)(x -1)2 = (1/2)(x2)(x2 - 2x + 1) = (1/2)x4 - x3 + (1/2)x2
How do you simplify x cubed- 9x?
To simplify x3-9x, you factor out the x, leaving you with x(x2-9). You can then take the square root of both numbers and end up with x(x+3)(x-3).
How do you simplify X2 plus 2x plus 4?
Factor it out: (x+2) squared
