EDGE Math 8

1.	${(5 x^{3} + y^{3})}^{2}$

25 x^{6} + 5 x^{3} y^{3} + y^{6}

25 x^{6} + y^{6}

25 x^{6} + 10 x^{3} y^{3} + y^{6}

none of the choices

Answer: $25 x^{6} + 10 x^{3} y^{3} + y^{6}$

2.	${(4 - 3 a)}^{3}$

64 - 144 a + 108 a^{2} - 27 a^{3}

64 - 144 a - 108 a^{2} - 27 a^{3}

64 - 24 a - 27 a^{3}

none of the choices

Answer: $64 - 144 a + 108 a^{2} - 27 a^{3}$

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

\frac{4}{9} x^{2} + \frac{9}{16} y^{2}

\frac{4}{9} x^{2} + x y + \frac{9}{16} y^{2}

\frac{4}{9} x^{2} + 2 x y + \frac{9}{16} y^{2}

none of the choices

Answer: $\frac{4}{9} x^{2} + x y + \frac{9}{16} y^{2}$

4.	$(a - 4) (a^{2} + 4 a + 16)$

a^{3} - 64

a^{3} + 64

a^{3} - 12 a^{2} + 192 a - 64

none of the choices

Answer: $a^{3} - 64$

5.	$(m + 3 n) (m^{2} - 3 m n + 9 n^{2})$

m^{3} - 27 n^{3}

m^{3} + 27 n^{3}

m^{3} + 9 m^{2} n - 81 m n^{2} + 27 n^{3}

none of the choices

Answer: $m^{3} + 27 n^{3}$