What is (4x^4+8x^3+16x^2)/(4x^2) ?

The solution to (4x^4+8x^3+16x^2)/(4x^2) is x^2+2x+4

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simplify (4x^4+8x^3+16x^2)/(4x^2)

simplify

\frac{4 x ^{4} + 8 x ^{3} + 16 x ^{2}}{4 x ^{2}}

x^{2} + 2 x + 4

Solution steps

\frac{4 x ^{4} + 8 x ^{3} + 16 x ^{2}}{4 x ^{2}}

Factor

4 x^{4} + 8 x^{3} + 16 x^{2} : 4 x^{2} (x^{2} + 2 x + 4)

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

Cancel the common factor:

4

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

Cancel the common factor:

x^{2}

= x^{2} + 2 x + 4

4 \frac{2}{3} - 2 \frac{3}{5}

4 x^{2} - 28 x + 48

\frac{csc ( x )}{sec ( x )}

(x^{2} - x^{3})^{2}

x^{4} + 2 x^{3} - 3 x^{2} - 8 x - 4

What is (4x^4+8x^3+16x^2)/(4x^2) ?
The solution to (4x^4+8x^3+16x^2)/(4x^2) is x^2+2x+4