What is factor 48j^{10}+36j^8-8j^6+16j^2 ?

The solution to factor 48j^{10}+36j^8-8j^6+16j^2 is 4j^2(12j^8+9j^6-2j^4+4)

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factor 48j^{10}+36j^8-8j^6+16j^2

factor

48 j^{10} + 36 j^{8} - 8 j^{6} + 16 j^{2}

4 j^{2} (12 j^{8} + 9 j^{6} - 2 j^{4} + 4)

Solution steps

48 j^{10} + 36 j^{8} - 8 j^{6} + 16 j^{2}

Apply exponent rule:

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

j^{6} = j^{4} j^{2}

= 48 j^{8} j^{2} + 36 j^{6} j^{2} - 8 j^{4} j^{2} + 16 j^{2}

Rewrite

48

4 \cdot 12

Rewrite

36

4 \cdot 9

= 4 \cdot 12 j^{8} j^{2} + 4 \cdot 9 j^{6} j^{2} - 4 \cdot 2 j^{4} j^{2} + 4 \cdot 4 j^{2}

Factor out common term

4 j^{2}

= 4 j^{2} (12 j^{8} + 9 j^{6} - 2 j^{4} + 4)

\frac{10 - 2 i}{i}

\frac{25}{10}

x \times x - 1

What is factor 48j^{10}+36j^8-8j^6+16j^2 ?
The solution to factor 48j^{10}+36j^8-8j^6+16j^2 is 4j^2(12j^8+9j^6-2j^4+4)