Q. Simplify. Write your answer using whole numbers and variables.d2−6dd−6
Identify Structure: Identify the structure of the expression.The expression is a fraction with a polynomial in the numerator and a polynomial in the denominator. We need to simplify the expression by combining like terms and reducing the fraction if possible.
Combine Like Terms: Combine like terms in the denominator.The denominator is d2−6d. We can't combine these terms because they are not like terms (one is d2 and the other is d). So, the denominator remains as it is.
Find Common Factors: Look for common factors in the numerator and the denominator. The numerator is d−6, and the denominator is d2−6d. We can factor out a d from the denominator to see if it will cancel out with the numerator. d2−6d=d(d−6)
Cancel Common Factors: Cancel out common factors.We now have a common factor of (d−6) in both the numerator and the denominator. We can cancel this factor out.d(d−6)d−6=d1
Write Final Expression: Write the final simplified expression.After canceling out the common factor, we are left with d1 as the simplified expression.
More problems from Evaluate expressions using exponent rules