What is factor 24p^6q+42p^5q^4+54p^2q^2 ?

The solution to factor 24p^6q+42p^5q^4+54p^2q^2 is 6p^2q(4p^4+7p^3q^3+9q)

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factor 24p^6q+42p^5q^4+54p^2q^2

factor

24 p^{6} q + 42 p^{5} q^{4} + 54 p^{2} q^{2}

6 p^{2} q (4 p^{4} + 7 p^{3} q^{3} + 9 q)

Solution steps

24 p^{6} q + 42 p^{5} q^{4} + 54 p^{2} q^{2}

Apply exponent rule:

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

p^{6} q = p^{2} p^{4} q, p^{5} q^{4} = p^{2} p^{3} q q^{3}, p^{2} q^{2} = p^{2} qq

= 24 p^{2} p^{4} q + 42 p^{2} p^{3} q q^{3} + 54 p^{2} qq

Rewrite

54

9 \cdot 6

Rewrite

42

7 \cdot 6

= 4 \cdot 6 p^{2} p^{4} q + 7 \cdot 6 p^{2} p^{3} q q^{3} + 9 \cdot 6 p^{2} qq

Factor out common term

6 p^{2} q

= 6 p^{2} q (4 p^{4} + 7 p^{3} q^{3} + 9 q)

\frac{3 + 2 i}{2 - 3 i}

x^{3} + 5 x^{2}

(w + 5) (w - 3) = (w + 6) (w + 4)

\frac{1}{2} x - 3 = 10

48 x^{2} - 75

What is factor 24p^6q+42p^5q^4+54p^2q^2 ?
The solution to factor 24p^6q+42p^5q^4+54p^2q^2 is 6p^2q(4p^4+7p^3q^3+9q)