Factor a^2b^2+15ab+54

Math
a2b2+15ab+54
Rewrite a2b2 as (ab)2.
(ab)2+15(ab)+54
Let u=ab. Substitute u for all occurrences of ab.
u2+15u+54
Factor u2+15u+54 using the AC method.
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Consider the form x2+bx+c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is 54 and whose sum is 15.
6,9
Write the factored form using these integers.
(u+6)(u+9)
(u+6)(u+9)
Replace all occurrences of u with ab.
(ab+6)(ab+9)
Factor a^2b^2+15ab+54

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