What is lcm 3xyz^2,9x^2y+9x^2 ?

The solution to lcm 3xyz^2,9x^2y+9x^2 is 9x^2yz^2(y+1)

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lcm 3xyz^2,9x^2y+9x^2

lcm

3 x y z^{2}, 9 x^{2} y + 9 x^{2}

9 x^{2} y z^{2} (y + 1)

Solution steps

Find Least Common Multiplier of

3 x y z^{2}, 9 x^{2} y + 9 x^{2}

Factor

3 x y z^{2}

3 \cdot x \cdot y \cdot z^{2}

Factor

9 x^{2} y + 9 x^{2} : 3^{2} x^{2} (y + 1)

9 x^{2} y + 9 x^{2}

Factor out common term

9 x^{2}

= 9 x^{2} (y + 1)

Factor

9 = 3^{2}

= 3^{2} \cdot x^{2} \cdot (y + 1)

Multiply each factor with the highest power:

3^{2} \cdot x^{2} \cdot y \cdot (y + 1) \cdot z^{2}

Simplify

9 x^{2} y z^{2} (y + 1)

\frac{6}{2} \cdot (2 + 1)

\frac{144}{4}

1 2^{2} + 5^{2}

36 - 24

(3 + 1)^{2}

What is lcm 3xyz^2,9x^2y+9x^2 ?
The solution to lcm 3xyz^2,9x^2y+9x^2 is 9x^2yz^2(y+1)