What is factor 20c^5d^3-16c^2d ?

The solution to factor 20c^5d^3-16c^2d is 4c^2d(5c^3d^2-4)

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factor 20c^5d^3-16c^2d

factor

20 c^{5} d^{3} - 16 c^{2} d

4 c^{2} d (5 c^{3} d^{2} - 4)

Solution steps

20 c^{5} d^{3} - 16 c^{2} d

Apply exponent rule:

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

c^{5} d^{3} = c^{2} c^{3} d d^{2}

= 20 c^{2} c^{3} d d^{2} - 16 c^{2} d

Rewrite

- 16

4 \cdot 4

Rewrite

20

5 \cdot 4

= 5 \cdot 4 c^{2} c^{3} d d^{2} + 4 \cdot 4 c^{2} d

Factor out common term

4 c^{2} d

= 4 c^{2} d (5 c^{3} d^{2} - 4)

1 + 11 x^{2} + 36 x^{4}

\frac{- 18}{2}

\frac{m ^{4}}{n ^{0}}

2 x + 3 \cdot 5 x - 1

4 (x - 3)^{2} - 5 (x - 3)

What is factor 20c^5d^3-16c^2d ?
The solution to factor 20c^5d^3-16c^2d is 4c^2d(5c^3d^2-4)