Well, let's start by breaking down the numbers and variables. The LCM, or least common multiple, is the smallest multiple that both numbers share. For 35x^8 and 245x^7, we can see that the common factors are 5, 7, and x^7. So, the LCM would be 5 * 7 * x^7, which simplifies to 35x^7.
x3 - 12x2 + 35x = x(x2 - 12x + 35) = x(x - 5)(x - 7)
7(5x + 4y)
Oh, what a happy little math problem we have here! To factor 35x + 63y, we can first look for the greatest common factor of the coefficients, which is 7. Then we can factor out the 7 to get 7(5x + 9y). And just like that, we've created a beautiful and simplified expression!
28
7...that is the LCM or least common multiple Because 7X2a=14a and 7X3=21
35x2-44x-7 = (7x+1)(5x-7) when factored
35x + 115 = 360 35x = 360-115 35x = 245 x = 245/35 x = 7
gcf(35x², 7xy², 21x²y²) = 7x 35x² = 5 times 7 times x² 7xy² = 7 times x times y² 21x²y² = 3 times 7 times x² times y² hcf = 7 times x = 7x (I've written the multiplication as times instead of using the × symbol to avoid confusion with the unknown x.)
x3 + 2x2 - 35x = x(x + 7)(x - 5)
The LCM of 14, 7 and 17 is 238. Factorising in power format: 14 = 2 x 7 7 = 7 17 = 17 lcm = 2 x 7 x 17 = 238
LCM is 28, which is the multiple of the highest power of prime factors in the given numbers (22 x 7).
To find the Least Common Multiple (LCM) of 7, 3, and 21, we first need to identify the prime factors of each number. The prime factors of 7 are 7, of 3 are 3, and of 21 are 3 and 7. Then, we take the highest power of each prime factor that appears in any of the numbers. In this case, the LCM of 7, 3, and 21 is 21, as it includes the highest power of both 7 and 3.
x3 - 12x2 + 35x = x(x2 - 12x + 35) = x(x - 5)(x - 7)
For the values: 8, 7, 3 the LCM is: 168
LCM is 56, which is the multiple of the highest power of prime factors in the given numbers (23 x 7).
5 * 7 * x * x * x
7(5x + 4y)