What is factor 16xy^3-84x^2y^2+108x^3 ?

The solution to factor 16xy^3-84x^2y^2+108x^3 is 4x(4y^3-21xy^2+27x^2)

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factor 16xy^3-84x^2y^2+108x^3

factor

16 x y^{3} - 84 x^{2} y^{2} + 108 x^{3}

4 x (4 y^{3} - 21 x y^{2} + 27 x^{2})

Solution steps

16 x y^{3} - 84 x^{2} y^{2} + 108 x^{3}

Apply exponent rule:

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

x^{2} y^{2} = xx, x^{3} = x x^{2}

= 16 x y^{3} - 84 xx + 108 x x^{2}

Rewrite

108

27 \cdot 4

Rewrite

- 84

21 \cdot 4

= 4 \cdot 4 x y^{3} + 21 \cdot 4 xx + 27 \cdot 4 x x^{2}

Factor out common term

4 x

= 4 x (4 y^{3} - 21 x y^{2} + 27 x^{2})

6 x - 3 ∣ 7 x - 11 ∣ < - 4 (\frac{15}{2} x - 7)

\frac{1}{2} x + \frac{2}{3} = - \frac{19}{42}

3 ∣ y + 4 ∣ \leq 15

\frac{2}{5} \cdot 8

x - 29 = - 3 (3 + x)

What is factor 16xy^3-84x^2y^2+108x^3 ?
The solution to factor 16xy^3-84x^2y^2+108x^3 is 4x(4y^3-21xy^2+27x^2)