Answer:
15. c. 1/8
16. d. 6x² + 2x - 4
17. d. b³ + 125
18. c. 25 yd³
Step-by-step explanation:
15.
[tex]2^{-3} = \frac{1}{2^3}[/tex]
[tex]2^{-3} = \boxed{\frac{1}{8} }[/tex]
16.
[tex]\rm \frac{12x^3+10x^2-6x-4}{2x+1}[/tex]
[tex]\implies \rm \frac{2(x+1)(2x+1)(3x-2)}{2x+1}[/tex]
[tex]\implies \rm \frac{2(x+1)(3x-2)}{1}[/tex]
[tex]\implies \rm 2(3x^2+x-2)[/tex]
[tex]\implies \boxed{\rm 6x^2 + 2x - 4}[/tex]
17.
[tex]\rm (b+5)(b^2-5b+25)[/tex]
[tex]\implies \rm b(b^2 - 5b + 25) + 5(b^2 - 5b + 25)[/tex]
[tex]\implies \rm b^3 - 5b^2 + 25b + 5b^2 - 25b + 125[/tex]
[tex]\implies \boxed{ \rm b^3 + 125}[/tex]
18.
[tex]\rm 1 \ cubic \ meter \approx 1.308 \ cubic \ yard[/tex]
[tex]\therefore \rm 19 \ cubic \ meters \approx 19(1.308) \ cubic \ yard[/tex]
[tex]\rm 19 \ cubic \ meters \approx \boxed{\rm 25 \ cubic \ yards}[/tex]
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