divide :- (x^2-12x+27)÷(x+3)
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divide :- (x^2-12x+27)÷(x+3)
Step-by-step explanation:
x 2 + 12 x + 27/ x + 3
Factor x ^2 + 12 x + 27 using the AC method.
Consider the form x^ 2 + b x + c . Find a pair of integers whose product is c and whose sum is b . In this case, whose product is 27 and whose sum is 12 .
3 , 9
Write the factored form using these integers.
( x + 3 ) ( x + 9 )/ x + 3
Cancel the common factor of
x + 3 .
Cancel the common factor.
( x + 3 ) ( x + 9 ) / x + 3 (cancel x+3)
Divide x + 9 by 1 . x + 9
Divide x + 9 by 1 .
x + 9
therefore answer is x+9
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