Q. Simplify. Write your answer using whole numbers and variables.m2−6mm−6
Write Expression: Write down the expression to be simplified.The expression given is m−m2−6m6.
Identify Terms: Identify like terms and common factors.In the expression m−m26−6m, there are no like terms to combine directly. However, we can factor out an m from the terms m and −6m.
Factor Out m: Factor out m from the terms m and −6m. We can write m−m26−6m as m(1−m26)−6m.
Simplify Inside Parentheses: Simplify the expression inside the parentheses.The term −m26 can be simplified by multiplying the numerator and denominator by m2, which gives us m2−6m2.
Perform Division: Perform the division inside the parentheses.Since −6m2/m2 simplifies to −6, we can rewrite the expression as m(1−6)−6m.
Simplify Inside Parentheses: Simplify the expression inside the parentheses. 1−6=−5, so the expression becomes m(−5)−6m.
Distribute m: Distribute the m across the parentheses. Multiplying m by −5 gives us −5m, so the expression is now −5m−6m.
Combine Like Terms: Combine like terms.−5m−6m combines to −11m.
More problems from Powers with decimal and fractional bases