What is factor x^3-y^3-5x(x^2+xy+y^2) ?

The solution to factor x^3-y^3-5x(x^2+xy+y^2) is -(x^2+xy+y^2)(4x+y)

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factor x^3-y^3-5x(x^2+xy+y^2)

factor

x^{3} - y^{3} - 5 x (x^{2} + x y + y^{2})

- (x^{2} + x y + y^{2}) (4 x + y)

Solution steps

x^{3} - y^{3} - 5 x (x^{2} + x y + y^{2})

Factor

x^{3} - y^{3} : (x - y) (x^{2} + x y + y^{2})

= (x - y) (x^{2} + x y + y^{2}) - 5 x (x^{2} + x y + y^{2})

Factor out common term

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

= (x^{2} + x y + y^{2}) (- 4 x - y)

Factor

- 4 x - y : - (4 x + y)

= (x^{2} + x y + y^{2}) (- (4 x + y))

Apply rule:

a (- b) = - ab

(x^{2} + x y + y^{2}) (- (4 x + y)) = - (x^{2} + x y + y^{2}) (4 x + y)

= - (x^{2} + x y + y^{2}) (4 x + y)

1.97 (1 - h) = 1

500 = p e^{l n (150) (\frac{2}{7}) (9)}

(x - 3)^{2} = 24

x^{2} - 4 x y - 21 y^{2}

∣ 2 x + 1 ∣ > 3

What is factor x^3-y^3-5x(x^2+xy+y^2) ?
The solution to factor x^3-y^3-5x(x^2+xy+y^2) is -(x^2+xy+y^2)(4x+y)