Answer: 1 / (m−3) ; m ≠ -3, 7 . _____________________________________ Explanation: ________________________________________ Given: ________________________________________ <span>(m+7) / (m</span>² <span>+ 4m</span> − 21) ; Simplify the expression ; ____________________________________________ In the "denominator" : " m² + 4m − 21 " ; see if we can factor out an "(m+7)" which is in the 'numerator' ; ________________________________________ m² + 4m − 21 = (m+7) (m−3) ; Yes! ___________________________________________ So, rewrite the original problem as: ___________________________________________ (m+7) / [(m+7)(m−3)] ; and the "(m−7)" in both the numerator AND the denominator "cancel out" to "1"; since anything divided by that same number equals "1" ; ___________________________________________
So we rewrite the expression: __________________________________________ 1 / (m−3) ; m ≠ -3, 7 . _____________________________________________
