What is lcm 7x^2-2xy+1,5xy+4x^2,x^2-y^2 ?

The solution to lcm 7x^2-2xy+1,5xy+4x^2,x^2-y^2 is (5y+4x)(7x^2-2xy+1)x(x+y)(x-y)

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lcm 7x^2-2xy+1,5xy+4x^2,x^2-y^2

lcm

7 x^{2} - 2 x y + 1, 5 x y + 4 x^{2}, x^{2} - y^{2}

(5 y + 4 x) (7 x^{2} - 2 x y + 1) x (x + y) (x - y)

Solution steps

Find Least Common Multiplier of

7 x^{2} - 2 x y + 1, 5 x y + 4 x^{2}, x^{2} - y^{2}

Factor

5 x y + 4 x^{2} : x (5 y + 4 x)

Factor

x^{2} - y^{2} : (x + y) (x - y)

Multiply each factor with the highest power:

(5 y + 4 x) \cdot (7 x^{2} - 2 x y + 1) \cdot x \cdot (x + y) \cdot (x - y)

(a + 0.5 b), (3 a + b), (9 a + 2 b)

36 \frac{g}{c} \cdot m^{3}, 360 \frac{g}{c} \cdot m^{3}, 36 \frac{g}{c} \cdot m^{3}

1, 2, 3, 1, 5, 0, 7, - 1.9 x

(0), \frac{r}{\frac{12}{3}}

a, \frac{14}{13} + \frac{15}{22} + \frac{9}{13} + \frac{7}{22} - 2

What is lcm 7x^2-2xy+1,5xy+4x^2,x^2-y^2 ?
The solution to lcm 7x^2-2xy+1,5xy+4x^2,x^2-y^2 is (5y+4x)(7x^2-2xy+1)x(x+y)(x-y)