(x^2-2) (x^2+3x+5)= x^2(x^2+3x+5) -2(x^2+3x+5)= x^4 +3x^3 +5x^2 -2x^2 -6x -10= x^4 +3x^3 +3x^2 -6x -10
(7x - 10)(x + 1)
(3x-2)(x-2)
The expression 3X divided by X squared can be simplified by dividing the coefficient of X by the coefficient of X squared. In this case, 3X divided by X squared simplifies to 3/X. This is because when dividing by a term with an exponent, you subtract the exponents in the denominator from the exponents in the numerator.
3x2 + x = x*(3x + 1)
13
(x^2-2) (x^2+3x+5)= x^2(x^2+3x+5) -2(x^2+3x+5)= x^4 +3x^3 +5x^2 -2x^2 -6x -10= x^4 +3x^3 +3x^2 -6x -10
X squared - 3x - 10 = 0 (x-5) (x+2) = 0 x - 5 = 0 x + 2 = 0 X= 5 x = -2
For any x ≠ 0, x2 -10/x2 - 4 +3x/x2 - 4 LCD = x2, multiply each term by their missing element of LCD = (x4 + 10 +3x - 8x2)/x = (x4 - 8x2 + 3x + 10)/x2
(7x - 10)(x + 1)
(3x-2)(x-2)
x^2 + 3x + 2/(-3x) - x^2 - 2=3x-2+2/(-3x)=3x-2-2/(3x)
2 squared X 3 squared = 5 squared
The expression 3X divided by X squared can be simplified by dividing the coefficient of X by the coefficient of X squared. In this case, 3X divided by X squared simplifies to 3/X. This is because when dividing by a term with an exponent, you subtract the exponents in the denominator from the exponents in the numerator.
(3x2 - 6x)/3x = 3x(x-2)/3x = x-2, for x<>0
3x2 + x = x*(3x + 1)
5x2 + 3x + 8x2 = 13x2 + 3x = x(13x + 3)