| Column-A | Column-B | ||
| (i) | \[{{a}^{3}}-{{b}^{3\,\,\,}}\]when a=3 and b=2 | (a) | 0 |
| (ii) | \[{{z}^{3}}-13(z+10)\,\]when z=-10 | (b) | \[-22\] |
| (iii) | \[{{x}^{2}}+2x+1\] When x=-1 | (c) | \[-1000\] |
| (iv) | \[5p-12\]when p=-2 | (d) | 19 |
A) (i) - (d), (ii) - (a), (iii) - (b), (iv) - (c)
B) (i) - (d), (ii) - (c), (iii) - (b), (iv) - (a)
C) (i) - (a), (ii) - (b), (iii) - (c), (iv) - (d)
D) (i) - (d), (ii) - (c), (iii) - (a), (iv) - (b)
Correct Answer: D
Solution :
(d) Substitute the given values in the expressions and evaluate. \[{{a}^{3}}-{{b}^{3}}={{3}^{3}}-{{2}^{3}}=27-8=19\] \[{{z}^{3}}-13(z+10)={{(-10)}^{3}}-3(-10+10)=-1000\] \[{{x}^{2}}+2x+1-{{(-1)}^{2}}+2(1)+1\] \[=1-2+1-0\] \[5x-2-12\] \[=-10-12=-22\]
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