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Popular >

factor 16c^4p+20cp^3

Solution

factor

16 c^{4} p + 20 c p^{3}

Solution

4 c p (4 c^{3} + 5 p^{2})

Solution steps

16 c^{4} p + 20 c p^{3}

Apply exponent rule:

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

c^{4} p = c c^{3} p, c p^{3} = c p p^{2}

= 16 c c^{3} p + 20 c p p^{2}

Rewrite

20

as

5 \cdot 4

Rewrite

16

as

4 \cdot 4

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

Factor out common term

4 c p

= 4 c p (4 c^{3} + 5 p^{2})

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Frequently Asked Questions (FAQ)

What is factor 16c^4p+20cp^3 ?
The solution to factor 16c^4p+20cp^3 is 4cp(4c^3+5p^2)