What is (10x^6+8x^4)/(2x^2) ?

The solution to (10x^6+8x^4)/(2x^2) is x^2(5x^2+4)

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simplify (10x^6+8x^4)/(2x^2)

simplify

\frac{10 x ^{6} + 8 x ^{4}}{2 x ^{2}}

x^{2} (5 x^{2} + 4)

Solution steps

\frac{10 x ^{6} + 8 x ^{4}}{2 x ^{2}}

Factor

10 x^{6} + 8 x^{4} : 2 x^{4} (5 x^{2} + 4)

= \frac{2 x ^{4} ( 5 x ^{2} + 4 )}{2 x ^{2}}

Cancel the common factor:

2

= \frac{x ^{4} ( 5 x ^{2} + 4 )}{x ^{2}}

Apply exponent rule:

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

x^{4} = x^{2} x^{2}

= \frac{x ^{2} x ^{2} ( 5 x ^{2} + 4 )}{x ^{2}}

Cancel the common factor:

x^{2}

= x^{2} (5 x^{2} + 4)

x^{2} y^{3} 9 x^{3} y^{7}

2 \times \frac{5}{3}

\frac{4}{3} \times \frac{1}{3}

3 (3 x - 7) + 4 x

x^{5} \times x^{3}

What is (10x^6+8x^4)/(2x^2) ?
The solution to (10x^6+8x^4)/(2x^2) is x^2(5x^2+4)