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

The solution to expand ((8y+x^3)^2)/4 is 16y^2+4yx^3+(x^6)/4

Popular >

expand ((8y+x^3)^2)/4

expand

\frac{( 8 y + x ^{3} ) ^{2}}{4}

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

Solution steps

\frac{( 8 y + x ^{3} ) ^{2}}{4}

(8 y + x^{3})^{2} = 64 y^{2} + 16 y x^{3} + x^{6}

= \frac{64 y ^{2} + 16 y x ^{3} + x ^{6}}{4}

Apply the fraction rule:

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

\frac{64 y ^{2} + 16 y x ^{3} + x ^{6}}{4} = \frac{64 y ^{2}}{4} + \frac{16 y x ^{3}}{4} + \frac{x ^{6}}{4}

= \frac{64 y ^{2}}{4} + \frac{16 y x ^{3}}{4} + \frac{x ^{6}}{4}

Divide the numbers:

\frac{64}{4} = 16

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

Divide the numbers:

\frac{16}{4} = 4

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

(x^{\frac{6}{7}} - x) (x^{\frac{6}{7}} + x)

(1 + \frac{2}{3} x)^{n} (3 + n x)^{2}

(x + 1) \times (x - \frac{1}{6})

((x^{2} - 13 x) \cdot (x + 3)) x

(x - 67) (x + 67)

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