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Divide and simplify,if possible

Divide and simplify if possible 
3x+12 ÷ (x+4)^2
4x_12     (x-3)^2
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2 Answers

Hi Theresa,
3x+12 ÷(x+4)²
4x-12     (x-3)²
3(x+4) ×(x-3)²
4(x-3)     (x+4)²
For x=-4 and x =3 the solution is not defined.


Try putting x = 3 into the original equation.
No Division by Zero Constraints: x ≠ 3, -4
Change division by fraction to multiplication by its reciprocal:
Take out Greatest Common Factors:
Multiply Fractions:
Factor Common Factors out of Numerator and Denominator:
Iff x ≠ 3, -4 then ((x+4)/(x+4))*((x-3)/(x-3)) = 1; otherwise it's UNDEFINED.
["Iff" means "If and only if".]
(3(x-3))/(4(x+4))*1, x ≠ 3, -4
(3/4)*(x-3)/(x+4), x ≠ 3, -4