What is factor 10p^8q+15p^7q^3+25p^4q^2 ?

The solution to factor 10p^8q+15p^7q^3+25p^4q^2 is 5p^4q(2p^4+3p^3q^2+5q)

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factor 10p^8q+15p^7q^3+25p^4q^2

factor

10 p^{8} q + 15 p^{7} q^{3} + 25 p^{4} q^{2}

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

Solution steps

10 p^{8} q + 15 p^{7} q^{3} + 25 p^{4} q^{2}

Apply exponent rule:

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

p^{8} q = p^{4} p^{4} q, p^{7} q^{3} = p^{4} p^{3} q q^{2}, p^{4} q^{2} = p^{4} qq

= 10 p^{4} p^{4} q + 15 p^{4} p^{3} q q^{2} + 25 p^{4} qq

Rewrite

25

5 \cdot 5

Rewrite

15

3 \cdot 5

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

Factor out common term

5 p^{4} q

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

\frac{2}{5} (4)^{\frac{5}{2}}

e - 6 = 8

4 x + 16 = x^{2}

- 0.25 x = (0.0401 + x)^{2}

lo g_{125} (25)

What is factor 10p^8q+15p^7q^3+25p^4q^2 ?
The solution to factor 10p^8q+15p^7q^3+25p^4q^2 is 5p^4q(2p^4+3p^3q^2+5q)