42 = 2 * 3 * 7 12 = 2 * 2 * 3 Hence gcf (42, 12) = 2 * 3 = 6 Notice that a is also a factor of 12a and 42a. Hence gcf (42a, 12a) = 2 * 3 * a = 6a
Chat with our AI personalities
7a2
To find the greatest common factor (GCF) of 42a^2b and 60ab^2, we first need to break down each term into its prime factors. For 42a^2b, the prime factors are 2 * 3 * 7 * a * a * b. For 60ab^2, the prime factors are 2 * 2 * 3 * 5 * a * b * b. Comparing the prime factors of both terms, we can identify the common factors: 2, 3, a, and b. Therefore, the GCF of 42a^2b and 60ab^2 is 6ab.
The GCF is 6a.
Are you sure it's minus 49?If so, then:9a2 +42a -49={(3a)2 + 2·3a·7 + 72} -2·72=(3a -7)2 - (7·sqrt(2))2 (2nd binomial formula)={(3a -7) + (7·sqrt(2))} · {(3a -7) - (7·sqrt(2))} (3rd binomial formula)=(3a +2,89949) · (3a -16,89949).Otherwise if it's plus 49 then simpler:9a2 +42a +49={(3a)2 + 2·3a·7 + 72}=(3a -7)2.