What is expand (x^4(16x^2y^6+3)^2)/(16) ?

The solution to expand (x^4(16x^2y^6+3)^2)/(16) is 16x^8y^{12}+6x^6y^6+(9x^4)/(16)

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expand (x^4(16x^2y^6+3)^2)/(16)

expand

\frac{x ^{4} ( 16 x ^{2} y ^{6} + 3 ) ^{2}}{16}

16 x^{8} y^{12} + 6 x^{6} y^{6} + \frac{9 x ^{4}}{16}

Solution steps

\frac{x ^{4} ( 16 x ^{2} y ^{6} + 3 ) ^{2}}{16}

(16 x^{2} y^{6} + 3)^{2} = 256 x^{4} y^{12} + 96 x^{2} y^{6} + 9

= \frac{x ^{4} ( 256 x ^{4} y ^{12} + 96 x ^{2} y ^{6} + 9 )}{16}

Expand

x^{4} (256 x^{4} y^{12} + 96 x^{2} y^{6} + 9) : 256 x^{8} y^{12} + 96 x^{6} y^{6} + 9 x^{4}

= \frac{256 x ^{8} y ^{12} + 96 x ^{6} y ^{6} + 9 x ^{4}}{16}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{256 x ^{8} y ^{12} + 96 x ^{6} y ^{6} + 9 x ^{4}}{16} = \frac{256 x ^{8} y ^{12}}{16} + \frac{96 x ^{6} y ^{6}}{16} + \frac{9 x ^{4}}{16}

= \frac{256 x ^{8} y ^{12}}{16} + \frac{96 x ^{6} y ^{6}}{16} + \frac{9 x ^{4}}{16}

Divide the numbers:

\frac{256}{16} = 16

= 16 x^{8} y^{12} + \frac{96 x ^{6} y ^{6}}{16} + \frac{9 x ^{4}}{16}

Divide the numbers:

\frac{96}{16} = 6

= 16 x^{8} y^{12} + 6 x^{6} y^{6} + \frac{9 x ^{4}}{16}

\frac{d}{d t} ((z (t, x, y)) (x^{2} + y^{2}))

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

2 (52 + 210)

\frac{16}{( s + 2 ) s ^{2}}

What is expand (x^4(16x^2y^6+3)^2)/(16) ?
The solution to expand (x^4(16x^2y^6+3)^2)/(16) is 16x^8y^{12}+6x^6y^6+(9x^4)/(16)