What is factor 5a^4-10a+15a^3+20a^2 ?

The solution to factor 5a^4-10a+15a^3+20a^2 is 5a(a^3-2+3a^2+4a)

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factor 5a^4-10a+15a^3+20a^2

factor

5 a^{4} - 10 a + 15 a^{3} + 20 a^{2}

5 a (a^{3} - 2 + 3 a^{2} + 4 a)

Solution steps

5 a^{4} - 10 a + 15 a^{3} + 20 a^{2}

Apply exponent rule:

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

a^{2} = aa

= 5 a^{3} a - 10 a + 15 a^{2} a + 20 aa

Rewrite

10

5 \cdot 2

Rewrite

15

5 \cdot 3

= 5 a^{3} a - 5 \cdot 2 a + 5 \cdot 3 a^{2} a + 5 \cdot 4 aa

Factor out common term

5 a

= 5 a (a^{3} - 2 + 3 a^{2} + 4 a)

x^{2} - 2 x y - 8 y^{2}

\frac{1}{10}

\frac{7}{8} + \frac{8}{15} - \frac{4}{16}

\frac{27}{5} \div \frac{81}{25}

20 x^{2} + 236 x + 696

What is factor 5a^4-10a+15a^3+20a^2 ?
The solution to factor 5a^4-10a+15a^3+20a^2 is 5a(a^3-2+3a^2+4a)