(10t^(9)+1)/(9t^(8)+1)

Question

Bytelearn · Accepted Answer

Identify expression: Identify the expression to be simplified. The expression given is (10t^(9)+1)/(9t^(8)+1). We need to check if there is any common factor that can be canceled out or if there is any algebraic manipulation that can simplify the expression.Find common factors: Look for common factors in the numerator and the denominator. The numerator is 10t^(9)+1 and the denominator is 9t^(8)+1. There are no common factors between the numerator and the denominator that can be canceled out.Check algebraic identities: Check for any algebraic identities that might simplify the expression. There are no obvious algebraic identities that apply to this expression, such as difference of squares or sum/difference of cubes, that would simplify the expression.Apply polynomial division: Determine if polynomial division or factoring is applicable. Since the numerator and the denominator are not factorable in a way that would cancel terms out, and the degree of the polynomial in the numerator is only one higher than the denominator, polynomial division would not simplify the expression.Conclude simplest form: Conclude that the expression is already in its simplest form. Since there are no common factors to cancel, no applicable algebraic identities, and no simplification possible through polynomial division, the expression (10t^(9)+1)/(9t^(8)+1) is already in its simplest form.

$\frac{10 t^{9}+1}{9 t^{8}+1}$

Full solution

More problems from Simplify radical expressions involving fractions

Related topics

10t9+19t8+1 \frac{10 t^{9}+1}{9 t^{8}+1} 9t8+110t9+1​

$\frac{10 t^{9}+1}{9 t^{8}+1}$