First we need to find the prime factorization of each expression: 3*3: 3*3 6*y: 3*2*y 9*2: 3*3*2 12*2y*2: 3*2*2*2*y Now look at each line and see what "terms" (note that each number counts as one "term") all four lines have in common. The only "term" in common is one 3, thus the greatest common factor is 3. Note: I assumed "12x2y2" meant 12*2*2*y, if it's 12*2*y^2, the prime factorization becomes: 3*2^2*y*y. The greatest common factor does not change, however. * is the multiplication symbol (3*3 means 3+3+3). ^ is the exponential function (i.e. the small number that is written on the top half of a standard line, 4^2 means 4*4).
3x3 + 192 3(x3 + 64) ========
3x3
First, it is important to regroup, so I am going to rearrange this equation: (x4 - 7x2 - 18 - 3x3 + 27x I can now factor the first three terms and the last two terms: (x4 - 7x2 - 18) becomes (x2 - 9)(x2 + 2) -3x3 + 27x becomes -3x(x2 - 9); so the new equation looks like: (x2 - 9)(x2 + 2) - 3x(x2 - 9) From here, factor out what is common, in this case- x2- 9. Therefore, you will have (x2 - 9)(x2 + 2 - 3x), which can be rearranged to (x2 -9)(x2 - 3x + 2). Further factoring reveals (x + 3)(x - 3)(x - 1)(x - 2) as the final answer.
Multiple them! 3x3=9 squares!
the area of 3x3 meters is 9 meters
3x
The GCF of those two terms is 3x3
Start by looking for a common factor. Separate this factor, then factor the remaining polynomial.
3 3x1=3 3x3=9
Prime factor each number. Circle the factors that are in all three numbers. Multiply those factors. 27=3x3x3 54=2x3x3 72=2x2x2x3x3 3x3=9 is the GCF
6
3x3
3x3+12x = 3x(x2+4)
Factor each one and multiply the prime factors the times it was used the most in any of the numbers. 6=2x3 9=3x3 25=5x5 2x3x3x5x5=450
9 is a multiple of 3. (3x3=9)
To find the LCM of two numbers you first express them as their prime factors. In this case we have: 9 = 3x3 11 = 11 The next step would be to identify any common factors. In this case there are none, so simply take all the factors (3, 3 and 11) and multiply them together: 3x3x11 = 99 Thus the LCM of 9 and 11 is 99.
9 ^ 3x3