What is factor 8x^3+8xy^2-98x ?

The solution to factor 8x^3+8xy^2-98x is 2x(4x^2+4y^2-49)

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factor 8x^3+8xy^2-98x

factor

8 x^{3} + 8 x y^{2} - 98 x

2 x (4 x^{2} + 4 y^{2} - 49)

Solution steps

8 x^{3} + 8 x y^{2} - 98 x

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

x^{3} = x x^{2}

= 8 x x^{2} + 8 x y^{2} - 98 x

Rewrite

- 98

49 \cdot 2

Rewrite

8

4 \cdot 2

= 4 \cdot 2 x x^{2} + 4 \cdot 2 x y^{2} + 49 \cdot 2 x

Factor out common term

2 x

= 2 x (4 x^{2} + 4 y^{2} - 49)

- x > - 2

x^{2} = 60

y^{3} - 4 y

(- 3) (- 1) > 0

x^{2} + 7 x + 12 < 0

What is factor 8x^3+8xy^2-98x ?
The solution to factor 8x^3+8xy^2-98x is 2x(4x^2+4y^2-49)