Step-by-step explanation:
6. (x^2 - 3)^3
= (x^2)^3 + (3) (x^2)^2 (-3) + (3) (x^2) (-3)^2 + (-3)^3
= x^6 - 9x^4 + 27 x^2 - 27
7. (-4x)(6x^2)(2y)
= - 48 x^3 y
8. (3a^2) (4 a^2 b^4)(-2 a b^5)
= - 24 a^5 b^9
9. (6x^4)^2 (2x^5)
= (36x^8)(2x^5)
= 72 x^13
10. (9 c^4 d^5) (-2cd^4)
= - 18 c^5 d^9
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Answers & Comments
Step-by-step explanation:
6. (x^2 - 3)^3
= (x^2)^3 + (3) (x^2)^2 (-3) + (3) (x^2) (-3)^2 + (-3)^3
= x^6 - 9x^4 + 27 x^2 - 27
7. (-4x)(6x^2)(2y)
= - 48 x^3 y
8. (3a^2) (4 a^2 b^4)(-2 a b^5)
= - 24 a^5 b^9
9. (6x^4)^2 (2x^5)
= (36x^8)(2x^5)
= 72 x^13
10. (9 c^4 d^5) (-2cd^4)
= - 18 c^5 d^9