Q. Simplify. Express your answer as a single fraction in simplest form. 2−w2
Identify expression: Identify the expression to be simplified.The given expression is 2−w2. To combine these terms into a single fraction, we need a common denominator.
Find common denominator: Find a common denominator.The common denominator for the terms 2 and −w2 is w. We need to express the number 2 as a fraction with the denominator w.
Convert integer to fraction: Convert the integer to a fraction with the common denominator.To convert the integer 2 to a fraction with the denominator w, we multiply both the numerator and the denominator by w: 2×(ww)=w2w.
Rewrite with common denominator: Rewrite the expression with the common denominator.Now we rewrite the expression using the common denominator w: w2w - w2.
Combine fractions: Combine the fractions.Since we now have a common denominator, we can combine the numerators: (2w−2)/w.
Simplify expression: Simplify the expression, if possible.In this case, there is no further simplification possible for the fraction (2w−2)/w because the numerator and the denominator do not have any common factors other than 1.
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