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The prime factors of 21 are 3 and 7.
The prime factors of 14 are 2 and 7.
The greatest common factor of 21 and 14 is 7.
21ab and 14b also have another factor in common - b. So, the greatest common factor of 21ab and 14b would appear to be 7b . However, it is possible that a and 14 share a common factor of 2, in which case the greatest common factor of 21ab and 14b would be 14b.
In summary, if a is an even number (i.e. having a factor of 2), the greatest common factor is 14b.
If a is not an even number, the greatest common factor is 7b.
gcf(21ab, 14b) = 7b.
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What is 12a plus 6b plus 9a plus 14b equals?
12a + 6b + 9a + 14b =(12a + 9a) + (6b + 14b) =21a + 20b
How do you write a monomial expression?
A Monomial is an algebraic expression containing only one term. For example:5, xy, 36x2y, a, 14b are the examples of monomial.
How old is mike if Mike is 15 times bills age if difference in age is 28?
Mike is 30; Bill is 2. m = 15b m - 28 = b 15b - 28 = b 14b = 28 b = 2 m = 15(2) = 30
Factor by groupin 4b2 plus 9b-28?
4b² + 9b - 28 = 4b² + 16b - 7b - 28= 4b (b + 4) - 7 (b + 4)= (4b - 7) (b + 4),which is the desired answer.This method can be called 'grouping' or 'splitting the middle term'.* * *The trick, as you can see, is in the judicious splitting of 9b into 16b - 7b.After all, there are infinite ways in which 9b may be split.(Examples: 9b = 14b - 5b; or 9b = 20b - 11b; neither of which gives any help at all. You can try, and see!)The real question is, which way of splitting 9b will help us factorise the original expression, and how can we find it? Trial and error will find it, of course; but, as in the present example, trial and error can sometimes become rather tedious.* * *Here is a very helpful rule, which works whenever the trinomial given is factorisable:(Since the three co-efficients in the present example are 4, 9, and -28, in that order, I will express the rule in terms of those three co-efficients.)Find two numbers whose sum is 9 and whose product is equal to4 × (-28) = -112.(Note that the sum must equal the co-efficient of the middle term, namely, 9.)These two numbers will be found to be 16 and -7. Thus, we will choose to represent 9b as 16b - 7b, and factorisation should proceed smoothly.
What is the Greatest common factor of 21ab 14b?
7b
What is the greatest common factor in 21ab and 14b?
Well, honey, the greatest common factor in 21ab and 14b is 7b. You see, 21 can be broken down into 3 x 7, and 14 can be broken down into 2 x 7. And since they both have a b in common, that's your greatest common factor right there. Math made sassy!
What is the factor of 21ab 14b?
You can take 7b out of both of those, leaving 3a and 2
What is the greatest common factor of 20b6 and 14b?
The greatest common factor of 20b6 and 14b is 2b.
How do you factor 49 plus 14b plus b squared?
a + b + 4 is in its simplest form.
What is 12a plus 6b plus 9a plus 14b equals?
12a + 6b + 9a + 14b =(12a + 9a) + (6b + 14b) =21a + 20b
Evaluate 14b for b equals 5?
14b = 5 b = 5/14
Vxhl-14b what year is this?
Model number VXHL-14B would be a 1968 model, 65 hp Johnson outboard.
What is 6 simplified?
7(a-2b)-6(a-4b) 7a - 14b - 6a - 24b 7a - 6a - 14b - 24b a - 38b
What is the LCM of 14a2 49ab 14b?
98a2b
What are the release dates for The Electric Company - 1971 14B - 6.14?
The Electric Company - 1971 14B - 6.14 was released on: USA: 4 November 1976
How do you factor 0 equals b2 - 14b plus 96?
It doesn't factor neatly. Applying the quadratic formula, we find two imaginary solutions: 7 plus or minus i times the square root of 47b = 7 + 6.855654600401044ib = 7 - 6.855654600401044iwhere i is the square root of -1
