What is lcm 7a^2-5a+33a^2-97+3a,1.5a+4a^2 ?

The solution to lcm 7a^2-5a+33a^2-97+3a,1.5a+4a^2 is (40a^2-2a-97)(4a+1.5)a

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lcm 7a^2-5a+33a^2-97+3a,1.5a+4a^2

lcm

7 a^{2} - 5 a + 33 a^{2} - 97 + 3 a, 1.5 a + 4 a^{2}

(40 a^{2} - 2 a - 97) (4 a + 1.5) a

Solution steps

Find Least Common Multiplier of

7 a^{2} - 5 a + 33 a^{2} - 97 + 3 a, 1.5 a + 4 a^{2}

Factor

7 a^{2} - 5 a + 33 a^{2} - 97 + 3 a : 40 a^{2} - 2 a - 97

Factor

1.5 a + 4 a^{2} : a (4 a + 1.5)

Multiply each factor with the highest power:

(40 a^{2} - 2 a - 97) \cdot (4 a + 1.5) \cdot a

3 y^{3}, 12 y^{5}

(x - 1), (x^{2} - 1), (x^{2} + 1) (x^{4} + 1)

2 (3 x - 2) + 4 (4 - 2 x), 3 (1 - 5 x) - 2 (2 x - 1)

\frac{x}{2}, (\frac{x}{3} - \frac{x}{4})

(- 1 - 7), b (- 3 - 10)

What is lcm 7a^2-5a+33a^2-97+3a,1.5a+4a^2 ?
The solution to lcm 7a^2-5a+33a^2-97+3a,1.5a+4a^2 is (40a^2-2a-97)(4a+1.5)a