The lowest common multiple of the expressions 3xyz^2 and 9x^2y + 9x^2 is 9x^2z^2(y + 1)
The expressions are given as:
3xyz^2 and 9x^2y + 9x^2
Factorize the expressions
3xyz^2 = 3 * x * y * z * z
9x^2y + 9x^2 = 3 * 3 * x * x * (y + 1)
Multiply the common factors, without repetition
LCM = 3 * 3 * x * x * (y + 1) * z* z
Evaluate the product
LCM = 9x^2z^2(y + 1)
Hence, the lowest common multiple of the expressions 3xyz^2 and 9x^2y + 9x^2 is 9x^2z^2(y + 1)
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